87076560 has 80 divisors (see below), whose sum is σ = 279267840. Its totient is φ = 22417920.

The previous prime is 87076541. The next prime is 87076573. The reversal of 87076560 is 6567078.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 705 + ... + 13215.

It is an arithmetic number, because the mean of its divisors is an integer number (3490848).

Almost surely, 2^87076560 is an apocalyptic number.

87076560 is a gapful number since it is divisible by the number (80) 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 87076560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139633920).

87076560 is an abundant number, since it is smaller than the sum of its proper divisors (192191280).

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

87076560 is a wasteful number, since it uses less digits than its factorization.

87076560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12556 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 87076560 is about 9331.4821973789. The cubic root of 87076560 is about 443.2347014582.

The spelling of 87076560 in words is "eighty-seven million, seventy-six thousand, five hundred sixty".