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987660 = 223353159
BaseRepresentation
bin11110001001000001100
31212011211000
43301020030
5223101120
633100300
711252322
oct3611014
91764730
10987660
11615053
123b7690
1328771b
141b9d12
15147990
hexf120c

987660 has 96 divisors (see below), whose sum is σ = 3225600. Its totient is φ = 250560.

The previous prime is 987659. The next prime is 987697. The reversal of 987660 is 66789.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16711 + ... + 16769.

It is an arithmetic number, because the mean of its divisors is an integer number (33600).

2987660 is an apocalyptic number.

987660 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 987660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1612800).

987660 is an abundant number, since it is smaller than the sum of its proper divisors (2237940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

987660 is a wasteful number, since it uses less digits than its factorization.

987660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 987660 is about 993.8108471938. The cubic root of 987660 is about 99.5869630200.

The spelling of 987660 in words is "nine hundred eighty-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 59 60 62 90 93 108 118 124 135 155 177 180 186 236 270 279 295 310 354 372 465 531 540 558 590 620 708 837 885 930 1062 1116 1180 1395 1593 1674 1770 1829 1860 2124 2655 2790 3186 3348 3540 3658 4185 5310 5487 5580 6372 7316 7965 8370 9145 10620 10974 15930 16461 16740 18290 21948 27435 31860 32922 36580 49383 54870 65844 82305 98766 109740 164610 197532 246915 329220 493830 987660