96264960 has 288 divisors, whose sum is σ = 349671168. Its totient is φ = 22364160.

The previous prime is 96264953. The next prime is 96264983. The reversal of 96264960 is 6946269.

It is a congruent number.

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, 1816294 + ... + 1816346.

It is an arithmetic number, because the mean of its divisors is an integer number (1214136).

Almost surely, 2^96264960 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 96264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174835584).

96264960 is an abundant number, since it is smaller than the sum of its proper divisors (253406208).

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

96264960 is a wasteful number, since it uses less digits than its factorization.

96264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 96264960 is about 9811.4708377490. The cubic root of 96264960 is about 458.3065649013.

The spelling of 96264960 in words is "ninety-six million, two hundred sixty-four thousand, nine hundred sixty".