94644400 has 120 divisors (see below), whose sum is σ = 242172000. Its totient is φ = 35481600.

The previous prime is 94644391. The next prime is 94644413. The reversal of 94644400 is 444649.

94644400 = T₄₈₁ + T₄₈₂ + ... + T₈₇₈.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475501 + ... + 475699.

It is an arithmetic number, because the mean of its divisors is an integer number (2018100).

Almost surely, 2^94644400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94644400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121086000).

94644400 is an abundant number, since it is smaller than the sum of its proper divisors (147527600).

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

94644400 is a wasteful number, since it uses less digits than its factorization.

94644400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 94644400 is about 9728.5353471116. The cubic root of 94644400 is about 455.7202295361.

The spelling of 94644400 in words is "ninety-four million, six hundred forty-four thousand, four hundred".