96164000 has 96 divisors (see below), whose sum is σ = 244717200. Its totient is φ = 37094400.

The previous prime is 96163979. The next prime is 96164071. The reversal of 96164000 is 46169.

It can be written as a sum of positive squares in 8 ways, for example, as 4999696 + 91164304 = 2236^2 + 9548^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115586 + ... + 116414.

Almost surely, 2^96164000 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 96164000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122358600).

96164000 is an abundant number, since it is smaller than the sum of its proper divisors (148553200).

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

96164000 is a wasteful number, since it uses less digits than its factorization.

96164000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 865 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 96164000 is about 9806.3244898382. The cubic root of 96164000 is about 458.1462891512.

The spelling of 96164000 in words is "ninety-six million, one hundred sixty-four thousand".