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820664 = 23132607
BaseRepresentation
bin11001000010110111000
31112200201222
43020112320
5202230124
625331212
76655415
oct3102670
91480658
10820664
11510639
12336b08
13229700
1417510c
1511325e
hexc85b8

820664 has 24 divisors (see below), whose sum is σ = 1668960. Its totient is φ = 378144.

The previous prime is 820657. The next prime is 820679. The reversal of 820664 is 466028.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1049 + ... + 1655.

It is an arithmetic number, because the mean of its divisors is an integer number (69540).

2820664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 820664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834480).

820664 is an abundant number, since it is smaller than the sum of its proper divisors (848296).

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

820664 is a wasteful number, since it uses less digits than its factorization.

820664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 820664 is about 905.9050722896. The cubic root of 820664 is about 93.6242735399.

The spelling of 820664 in words is "eight hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 26 52 104 169 338 607 676 1214 1352 2428 4856 7891 15782 31564 63128 102583 205166 410332 820664