96588640 has 24 divisors (see below), whose sum is σ = 228191040. Its totient is φ = 38635392.

The previous prime is 96588629. The next prime is 96588641. The reversal of 96588640 is 4688569.

It is a super-3 number, since 3×96588640³ (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96588641) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 301680 + ... + 301999.

It is an arithmetic number, because the mean of its divisors is an integer number (9507960).

Almost surely, 2^96588640 is an apocalyptic number.

It is an amenable number.

96588640 is an abundant number, since it is smaller than the sum of its proper divisors (131602400).

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

96588640 is a wasteful number, since it uses less digits than its factorization.

96588640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603694 (or 603686 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 46.

The square root of 96588640 is about 9827.9519738346. The cubic root of 96588640 is about 458.8196581901.

The spelling of 96588640 in words is "ninety-six million, five hundred eighty-eight thousand, six hundred forty".