94008960 has 192 divisors, whose sum is σ = 342108000. Its totient is φ = 23721984.

The previous prime is 94008953. The next prime is 94008983. The reversal of 94008960 is 6980049.

It is a tau number, because it is divible by the number of its divisors (192).

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

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, 109011 + ... + 109869.

Almost surely, 2^94008960 is an apocalyptic number.

94008960 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 94008960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171054000).

94008960 is an abundant number, since it is smaller than the sum of its proper divisors (248099040).

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

94008960 is a wasteful number, since it uses less digits than its factorization.

94008960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 903 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 94008960 is about 9695.8217805403. The cubic root of 94008960 is about 454.6980406031.

The spelling of 94008960 in words is "ninety-four million, eight thousand, nine hundred sixty".