94368960 has 336 divisors, whose sum is σ = 385462272. Its totient is φ = 20736000.

The previous prime is 94368949. The next prime is 94368973. The reversal of 94368960 is 6986349.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×94368960² = 17811001222963200, which contains 22 as substring.

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

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, 624885 + ... + 625035.

Almost surely, 2^94368960 is an apocalyptic number.

94368960 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 94368960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192731136).

94368960 is an abundant number, since it is smaller than the sum of its proper divisors (291093312).

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

94368960 is a wasteful number, since it uses less digits than its factorization.

94368960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 94368960 is about 9714.3687391410. The cubic root of 94368960 is about 455.2777115561.

The spelling of 94368960 in words is "ninety-four million, three hundred sixty-eight thousand, nine hundred sixty".