94624992 has 288 divisors, whose sum is σ = 356638464. Its totient is φ = 23040000.

The previous prime is 94624991. The next prime is 94625081. The reversal of 94624992 is 29942649.

It is a happy number.

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

It is a super-2 number, since 2×94624992² = 17907778222000128, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94624991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 376867 + ... + 377117.

It is an arithmetic number, because the mean of its divisors is an integer number (1238328).

Almost surely, 2^94624992 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 94624992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178319232).

94624992 is an abundant number, since it is smaller than the sum of its proper divisors (262013472).

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

94624992 is a wasteful number, since it uses less digits than its factorization.

94624992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

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

The square root of 94624992 is about 9727.5378179681. The cubic root of 94624992 is about 455.6890770578.

The spelling of 94624992 in words is "ninety-four million, six hundred twenty-four thousand, nine hundred ninety-two".