87655680 has 216 divisors, whose sum is σ = 346924032. Its totient is φ = 20017152.

The previous prime is 87655679. The next prime is 87655697. The reversal of 87655680 is 8655678.

87655680 is a `hidden beast` number, since 87 + 6 + 5 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80097 + ... + 81183.

Almost surely, 2^87655680 is an apocalyptic number.

87655680 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 87655680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173462016).

87655680 is an abundant number, since it is smaller than the sum of its proper divisors (259268352).

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

87655680 is a wasteful number, since it uses less digits than its factorization.

87655680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 87655680 is about 9362.4612148729. The cubic root of 87655680 is about 444.2151380084.

The spelling of 87655680 in words is "eighty-seven million, six hundred fifty-five thousand, six hundred eighty".