96166944 has 72 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 31597440.

The previous prime is 96166919. The next prime is 96166997. The reversal of 96166944 is 44966169.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×96166944² = 18496162236598272, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 96166944.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18097 + ... + 22799.

It is an arithmetic number, because the mean of its divisors is an integer number (3852576).

Almost surely, 2^96166944 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 96166944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

96166944 is an abundant number, since it is smaller than the sum of its proper divisors (181218528).

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

96166944 is a wasteful number, since it uses less digits than its factorization.

96166944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4790 (or 4779 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 96166944 is about 9806.4745958984. The cubic root of 96166944 is about 458.1509643898.

The spelling of 96166944 in words is "ninety-six million, one hundred sixty-six thousand, nine hundred forty-four".