95968800 has 180 divisors, whose sum is σ = 350215866. Its totient is φ = 25574400.

The previous prime is 95968781. The next prime is 95968813. The reversal of 95968800 is 886959.

It can be written as a sum of positive squares in 3 ways, for example, as 67963536 + 28005264 = 8244^2 + 5292^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 64060 + ... + 65540.

Almost surely, 2^95968800 is an apocalyptic number.

95968800 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175107933).

95968800 is an abundant number, since it is smaller than the sum of its proper divisors (254247066).

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

95968800 is a wasteful number, since it uses less digits than its factorization.

95968800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1513 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 95968800 is about 9796.3666734152. The cubic root of 95968800 is about 457.8360873627.

The spelling of 95968800 in words is "ninety-five million, nine hundred sixty-eight thousand, eight hundred".