94818816 has 160 divisors (see below), whose sum is σ = 296260800. Its totient is φ = 29942784.

The previous prime is 94818793. The next prime is 94818833. The reversal of 94818816 is 61881849.

The cubic root of 94818816 is 456.

It is a perfect power (a cube), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (110592) is a multiple of the sum of its prime divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4990455 + ... + 4990473.

It is an arithmetic number, because the mean of its divisors is an integer number (1851630).

Almost surely, 2^94818816 is an apocalyptic number.

94818816 is a gapful number since it is divisible by the number (96) 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 94818816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148130400).

94818816 is an abundant number, since it is smaller than the sum of its proper divisors (201441984).

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

94818816 is an frugal number, since it uses more digits than its factorization.

94818816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 24 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 94818816 is about 9737.4953658526.

Multiplying 94818816 by its product of digits (110592), we get a cube (10486202499072 = 21888³).

The spelling of 94818816 in words is "ninety-four million, eight hundred eighteen thousand, eight hundred sixteen".