95040792 has 288 divisors, whose sum is σ = 341452800. Its totient is φ = 23587200.

The previous prime is 95040779. The next prime is 95040809. The reversal of 95040792 is 29704059.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1203009 + ... + 1203087.

It is an arithmetic number, because the mean of its divisors is an integer number (1185600).

Almost surely, 2^95040792 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 95040792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170726400).

95040792 is an abundant number, since it is smaller than the sum of its proper divisors (246412008).

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

95040792 is a wasteful number, since it uses less digits than its factorization.

95040792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 133 counting only the distinct ones).

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

The square root of 95040792 is about 9748.8867056706. The cubic root of 95040792 is about 456.3555629387.

The spelling of 95040792 in words is "ninety-five million, forty thousand, seven hundred ninety-two".