95688320 has 256 divisors, whose sum is σ = 296110080. Its totient is φ = 28753920.

The previous prime is 95688319. The next prime is 95688347. The reversal of 95688320 is 2388659.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1805414 + ... + 1805466.

It is an arithmetic number, because the mean of its divisors is an integer number (1156680).

Almost surely, 2^95688320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95688320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148055040).

95688320 is an abundant number, since it is smaller than the sum of its proper divisors (200421760).

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

95688320 is a wasteful number, since it uses less digits than its factorization.

95688320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 95688320 is about 9782.0406868915. The cubic root of 95688320 is about 457.3896256974.

The spelling of 95688320 in words is "ninety-five million, six hundred eighty-eight thousand, three hundred twenty".