94874400 has 108 divisors (see below), whose sum is σ = 334576242. Its totient is φ = 25297920.

The previous prime is 94874387. The next prime is 94874431. The reversal of 94874400 is 447849.

It can be written as a sum of positive squares in 3 ways, for example, as 76108176 + 18766224 = 8724^2 + 4332^2 .

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

It is an unprimeable number.

It is a 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, 612 + ... + 13788.

Almost surely, 2^94874400 is an apocalyptic number.

94874400 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 94874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167288121).

94874400 is an abundant number, since it is smaller than the sum of its proper divisors (239701842).

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

94874400 is a wasteful number, since it uses less digits than its factorization.

94874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13203 (or 13187 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 94874400 is about 9740.3490697202. The cubic root of 94874400 is about 456.0890869341.

The spelling of 94874400 in words is "ninety-four million, eight hundred seventy-four thousand, four hundred".