87016680 has 160 divisors (see below), whose sum is σ = 296382240. Its totient is φ = 22896000.

The previous prime is 87016679. The next prime is 87016687. The reversal of 87016680 is 8661078.

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

It is not an unprimeable number, because it can be changed into a prime (87016687) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 346555 + ... + 346805.

It is an arithmetic number, because the mean of its divisors is an integer number (1852389).

Almost surely, 2^87016680 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 87016680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148191120).

87016680 is an abundant number, since it is smaller than the sum of its proper divisors (209365560).

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

87016680 is a wasteful number, since it uses less digits than its factorization.

87016680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 368 counting only the distinct ones).

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

The square root of 87016680 is about 9328.2731520898. The cubic root of 87016680 is about 443.1330783193.

The spelling of 87016680 in words is "eighty-seven million, sixteen thousand, six hundred eighty".