95938320 has 80 divisors (see below), whose sum is σ = 300373632. Its totient is φ = 25328640.

The previous prime is 95938301. The next prime is 95938331. The reversal of 95938320 is 2383959.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×95938320² = 18408322488844800, which contains 22 as substring.

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, 22780 + ... + 26660.

Almost surely, 2^95938320 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 95938320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150186816).

95938320 is an abundant number, since it is smaller than the sum of its proper divisors (204435312).

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

95938320 is a wasteful number, since it uses less digits than its factorization.

95938320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4000 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 95938320 is about 9794.8108710684. The cubic root of 95938320 is about 457.7876121584.

The spelling of 95938320 in words is "ninety-five million, nine hundred thirty-eight thousand, three hundred twenty".