87292560 has 40 divisors (see below), whose sum is σ = 270607680. Its totient is φ = 23277952.

The previous prime is 87292553. The next prime is 87292573. The reversal of 87292560 is 6529278.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181620 + ... + 182099.

It is an arithmetic number, because the mean of its divisors is an integer number (6765192).

Almost surely, 2^87292560 is an apocalyptic number.

87292560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87292560 is an abundant number, since it is smaller than the sum of its proper divisors (183315120).

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

87292560 is a wasteful number, since it uses less digits than its factorization.

87292560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363735 (or 363729 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 87292560 is about 9343.0487529500. The cubic root of 87292560 is about 443.6008912497.

The spelling of 87292560 in words is "eighty-seven million, two hundred ninety-two thousand, five hundred sixty".