94888800 has 288 divisors, whose sum is σ = 359976960. Its totient is φ = 24076800.

The previous prime is 94888789. The next prime is 94888813. The reversal of 94888800 is 888849.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 496705 + ... + 496895.

It is an arithmetic number, because the mean of its divisors is an integer number (1249920).

Almost surely, 2^94888800 is an apocalyptic number.

94888800 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 94888800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179988480).

94888800 is an abundant number, since it is smaller than the sum of its proper divisors (265088160).

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

94888800 is a wasteful number, since it uses less digits than its factorization.

94888800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 94888800 is about 9741.0882348945. The cubic root of 94888800 is about 456.1121607756.

The spelling of 94888800 in words is "ninety-four million, eight hundred eighty-eight thousand, eight hundred".