95979360 has 96 divisors (see below), whose sum is σ = 309772512. Its totient is φ = 24965120.

The previous prime is 95979353. The next prime is 95979383. The reversal of 95979360 is 6397959.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 17242 + ... + 22118.

It is an arithmetic number, because the mean of its divisors is an integer number (3226797).

Almost surely, 2^95979360 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 95979360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154886256).

95979360 is an abundant number, since it is smaller than the sum of its proper divisors (213793152).

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

95979360 is a wasteful number, since it uses less digits than its factorization.

95979360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4936 (or 4928 counting only the distinct ones).

The product of its (nonzero) digits is 459270, while the sum is 48.

The square root of 95979360 is about 9796.9056339234. The cubic root of 95979360 is about 457.8528795277.

The spelling of 95979360 in words is "ninety-five million, nine hundred seventy-nine thousand, three hundred sixty".