95304960 has 108 divisors (see below), whose sum is σ = 329785092. Its totient is φ = 25411584.

The previous prime is 95304929. The next prime is 95304961. The reversal of 95304960 is 6940359.

It can be written as a sum of positive squares in 2 ways, for example, as 53934336 + 41370624 = 7344^2 + 6432^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95304961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7384 + ... + 15656.

Almost surely, 2^95304960 is an apocalyptic number.

95304960 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 95304960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164892546).

95304960 is an abundant number, since it is smaller than the sum of its proper divisors (234480132).

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

95304960 is a wasteful number, since it uses less digits than its factorization.

95304960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300 (or 8283 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 95304960 is about 9762.4259280160. The cubic root of 95304960 is about 456.7779886196. Note that the first 3 decimals are identical.

The spelling of 95304960 in words is "ninety-five million, three hundred four thousand, nine hundred sixty".