95252800 has 84 divisors (see below), whose sum is σ = 240865660. Its totient is φ = 37048320.

The previous prime is 95252777. The next prime is 95252803. The reversal of 95252800 is 825259.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 14684224 + 80568576 = 3832^2 + 8976^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95252803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58396 + ... + 60004.

Almost surely, 2^95252800 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 95252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120432830).

95252800 is an abundant number, since it is smaller than the sum of its proper divisors (145612860).

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

95252800 is a wasteful number, since it uses less digits than its factorization.

95252800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1668 (or 1653 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 95252800 is about 9759.7540952629. The cubic root of 95252800 is about 456.6946425281.

The spelling of 95252800 in words is "ninety-five million, two hundred fifty-two thousand, eight hundred".