95936400 has 420 divisors, whose sum is σ = 403343232. Its totient is φ = 21461760.

The previous prime is 95936387. The next prime is 95936417. The reversal of 95936400 is 463959.

95936400 is a `hidden beast` number, since 9 + 5 + 9 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2041177 + ... + 2041223.

Almost surely, 2^95936400 is an apocalyptic number.

95936400 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 95936400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201671616).

95936400 is an abundant number, since it is smaller than the sum of its proper divisors (307406832).

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

95936400 is a wasteful number, since it uses less digits than its factorization.

95936400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 95936400 is about 9794.7128594972. The cubic root of 95936400 is about 457.7845582585.

Subtracting from 95936400 its reverse (463959), we obtain a square (95472441 = 9771²).

The spelling of 95936400 in words is "ninety-five million, nine hundred thirty-six thousand, four hundred".