95617008400 has 45 divisors (see below), whose sum is σ = 229734721663. Its totient is φ = 38244329600.

The previous prime is 95617008397. The next prime is 95617008463. The reversal of 95617008400 is 480071659.

The square root of 95617008400 is 309220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 18590777104 + 77026231296 = 136348^2 + 277536^2 .

It is a super-2 number, since 2×95617008400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6176670 + ... + 6192130.

Almost surely, 2^95617008400 is an apocalyptic number.

95617008400 is the 309220-th square number.

It is an amenable number.

95617008400 is an abundant number, since it is smaller than the sum of its proper divisors (134117713263).

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

95617008400 is an frugal number, since it uses more digits than its factorization.

95617008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30940 (or 15468 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The spelling of 95617008400 in words is "ninety-five billion, six hundred seventeen million, eight thousand, four hundred".