87984 has 60 divisors (see below), whose sum is σ = 270816. Its totient is φ = 26496.

The previous prime is 87977. The next prime is 87991. The reversal of 87984 is 48978.

It is an interprime number because it is at equal distance from previous prime (87977) and next prime (87991).

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

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 87984.

It is an unprimeable number.

87984 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1849 + ... + 1895.

2^{87984} 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 87984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135408).

87984 is an abundant number, since it is smaller than the sum of its proper divisors (182832).

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

87984 is a wasteful number, since it uses less digits than its factorization.

87984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 87984 is about 296.6209702634. The cubic root of 87984 is about 44.4769059145.

The spelling of 87984 in words is "eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 14664 21996 29328 43992 87984

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