95918400 has 126 divisors (see below), whose sum is σ = 340967822. Its totient is φ = 25574400.

The previous prime is 95918377. The next prime is 95918419. The reversal of 95918400 is 481959.

It can be written as a sum of positive squares in 3 ways, for example, as 23736384 + 72182016 = 4872^2 + 8496^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11070 + ... + 17730.

Almost surely, 2^95918400 is an apocalyptic number.

95918400 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 95918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170483911).

95918400 is an abundant number, since it is smaller than the sum of its proper divisors (245049422).

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

95918400 is a wasteful number, since it uses less digits than its factorization.

95918400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6689 (or 6671 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 95918400 is about 9793.7939533155. The cubic root of 95918400 is about 457.7559259651.

The spelling of 95918400 in words is "ninety-five million, nine hundred eighteen thousand, four hundred".