87058560 has 64 divisors (see below), whose sum is σ = 277505280. Its totient is φ = 23215104.

The previous prime is 87058537. The next prime is 87058561. The reversal of 87058560 is 6585078.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (87058561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20752 + ... + 24591.

It is an arithmetic number, because the mean of its divisors is an integer number (4336020).

Almost surely, 2^87058560 is an apocalyptic number.

87058560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87058560 is an abundant number, since it is smaller than the sum of its proper divisors (190446720).

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

87058560 is a wasteful number, since it uses less digits than its factorization.

87058560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45365 (or 45353 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 39.

The square root of 87058560 is about 9330.5176705261. The cubic root of 87058560 is about 443.2041583192.

The spelling of 87058560 in words is "eighty-seven million, fifty-eight thousand, five hundred sixty".