96418944 has 128 divisors (see below), whose sum is σ = 297187200. Its totient is φ = 30716928.

The previous prime is 96418937. The next prime is 96418957. The reversal of 96418944 is 44981469.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×96418944² = 18593225524150272, 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 96418944.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78882 + ... + 80094.

It is an arithmetic number, because the mean of its divisors is an integer number (2321775).

Almost surely, 2^96418944 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 96418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148593600).

96418944 is an abundant number, since it is smaller than the sum of its proper divisors (200768256).

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

96418944 is a wasteful number, since it uses less digits than its factorization.

96418944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 96418944 is about 9819.3148437149. The cubic root of 96418944 is about 458.5508015128.

The spelling of 96418944 in words is "ninety-six million, four hundred eighteen thousand, nine hundred forty-four".