96595400 has 144 divisors (see below), whose sum is σ = 259202160. Its totient is φ = 33193600.

The previous prime is 96595393. The next prime is 96595417. The reversal of 96595400 is 459569.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1163759 + ... + 1163841.

It is an arithmetic number, because the mean of its divisors is an integer number (1800015).

Almost surely, 2^96595400 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 96595400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129601080).

96595400 is an abundant number, since it is smaller than the sum of its proper divisors (162606760).

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

96595400 is a wasteful number, since it uses less digits than its factorization.

96595400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 96595400 is about 9828.2958848419. The cubic root of 96595400 is about 458.8303618248.

The spelling of 96595400 in words is "ninety-six million, five hundred ninety-five thousand, four hundred".