90715680 has 384 divisors, whose sum is σ = 365783040. Its totient is φ = 20782080.

The previous prime is 90715679. The next prime is 90715711. The reversal of 90715680 is 8651709.

90715680 is a `hidden beast` number, since 90 + 7 + 1 + 568 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1092919 + ... + 1093001.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 2^90715680 is an apocalyptic number.

90715680 is a gapful number since it is divisible by the number (90) 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 90715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182891520).

90715680 is an abundant number, since it is smaller than the sum of its proper divisors (275067360).

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

90715680 is a wasteful number, since it uses less digits than its factorization.

90715680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 90715680 is about 9524.4779384489. The cubic root of 90715680 is about 449.3252108605.

The spelling of 90715680 in words is "ninety million, seven hundred fifteen thousand, six hundred eighty".