95207904 has 144 divisors (see below), whose sum is σ = 302977584. Its totient is φ = 28108800.

The previous prime is 95207881. The next prime is 95207909. The reversal of 95207904 is 40970259.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95207909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129522 + ... + 130254.

It is an arithmetic number, because the mean of its divisors is an integer number (2104011).

Almost surely, 2^95207904 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 95207904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151488792).

95207904 is an abundant number, since it is smaller than the sum of its proper divisors (207769680).

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

95207904 is a wasteful number, since it uses less digits than its factorization.

95207904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 95207904 is about 9757.4537662241. The cubic root of 95207904 is about 456.6228791612.

It can be divided in two parts, 9520 and 7904, that added together give a square (17424 = 132²).

The spelling of 95207904 in words is "ninety-five million, two hundred seven thousand, nine hundred four".