95958720 has 336 divisors, whose sum is σ = 389424672. Its totient is φ = 21381120.

The previous prime is 95958713. The next prime is 95958749. The reversal of 95958720 is 2785959.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411724 + ... + 411956.

It is an arithmetic number, because the mean of its divisors is an integer number (1159002).

Almost surely, 2^95958720 is an apocalyptic number.

95958720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194712336).

95958720 is an abundant number, since it is smaller than the sum of its proper divisors (293465952).

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

95958720 is a wasteful number, since it uses less digits than its factorization.

95958720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The square root of 95958720 is about 9795.8521834499. The cubic root of 95958720 is about 457.8200573288.

The spelling of 95958720 in words is "ninety-five million, nine hundred fifty-eight thousand, seven hundred twenty".