94915200 has 96 divisors (see below), whose sum is σ = 312658560. Its totient is φ = 25308160.

The previous prime is 94915193. The next prime is 94915201. The reversal of 94915200 is 251949.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (94915201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4657 + ... + 14543.

It is an arithmetic number, because the mean of its divisors is an integer number (3256860).

Almost surely, 2^94915200 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 94915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156329280).

94915200 is an abundant number, since it is smaller than the sum of its proper divisors (217743360).

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

94915200 is a wasteful number, since it uses less digits than its factorization.

94915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9914 (or 9897 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 94915200 is about 9742.4432253927. The cubic root of 94915200 is about 456.1544567561.

The spelling of 94915200 in words is "ninety-four million, nine hundred fifteen thousand, two hundred".