95791200 has 144 divisors (see below), whose sum is σ = 314979840. Its totient is φ = 25285120.

The previous prime is 95791181. The next prime is 95791207. The reversal of 95791200 is 219759.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95791207) 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, 400681 + ... + 400919.

It is an arithmetic number, because the mean of its divisors is an integer number (2187360).

Almost surely, 2^95791200 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 95791200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157489920).

95791200 is an abundant number, since it is smaller than the sum of its proper divisors (219188640).

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

95791200 is a wasteful number, since it uses less digits than its factorization.

95791200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 95791200 is about 9787.2978906336. The cubic root of 95791200 is about 457.5534889236.

The spelling of 95791200 in words is "ninety-five million, seven hundred ninety-one thousand, two hundred".