95648400 has 135 divisors (see below), whose sum is σ = 333975369. Its totient is φ = 25349760.

The previous prime is 95648387. The next prime is 95648417. The reversal of 95648400 is 484659.

The square root of 95648400 is 9780.

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

95648400 is a `hidden beast` number, since 9 + 5 + 648 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34433424 + 61214976 = 5868^2 + 7824^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 586719 + ... + 586881.

Almost surely, 2^95648400 is an apocalyptic number.

95648400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95648400 is the 9780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95648400

95648400 is an abundant number, since it is smaller than the sum of its proper divisors (238326969).

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

95648400 is a wasteful number, since it uses less digits than its factorization.

95648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 95648400 is about 457.3260110591.

Multiplying 95648400 by its sum of digits (36), we get a square (3443342400 = 58680²).

95648400 divided by its sum of digits (36) gives a square (2656900 = 1630²).

The spelling of 95648400 in words is "ninety-five million, six hundred forty-eight thousand, four hundred".