95904480 has 384 divisors, whose sum is σ = 386684928. Its totient is φ = 19464192.

The previous prime is 95904451. The next prime is 95904493. The reversal of 95904480 is 8440959.

95904480 = 1110² + 1111² + ... + 1182².

It is a congruent number.

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, 1313724 + ... + 1313796.

It is an arithmetic number, because the mean of its divisors is an integer number (1006992).

Almost surely, 2^95904480 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 95904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193342464).

95904480 is an abundant number, since it is smaller than the sum of its proper divisors (290780448).

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

95904480 is a wasteful number, since it uses less digits than its factorization.

95904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 95904480 is about 9793.0832734129. The cubic root of 95904480 is about 457.7337812019.

The spelling of 95904480 in words is "ninety-five million, nine hundred four thousand, four hundred eighty".