95388960 has 192 divisors, whose sum is σ = 318536064. Its totient is φ = 23961600.

The previous prime is 95388929. The next prime is 95388971. The reversal of 95388960 is 6988359.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 728095 + ... + 728225.

It is an arithmetic number, because the mean of its divisors is an integer number (1659042).

Almost surely, 2^95388960 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 95388960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159268032).

95388960 is an abundant number, since it is smaller than the sum of its proper divisors (223147104).

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

95388960 is a wasteful number, since it uses less digits than its factorization.

95388960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 95388960 is about 9766.7271898011. The cubic root of 95388960 is about 456.9121477228.

The spelling of 95388960 in words is "ninety-five million, three hundred eighty-eight thousand, nine hundred sixty".