94986144 has 72 divisors (see below), whose sum is σ = 294682752. Its totient is φ = 28782720.

The previous prime is 94986121. The next prime is 94986161. The reversal of 94986144 is 44168949.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 94986144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11824 + ... + 18159.

It is an arithmetic number, because the mean of its divisors is an integer number (4092816).

Almost surely, 2^94986144 is an apocalyptic number.

It is an amenable number.

94986144 is an abundant number, since it is smaller than the sum of its proper divisors (199696608).

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

94986144 is a wasteful number, since it uses less digits than its factorization.

94986144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30010 (or 29999 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 94986144 is about 9746.0835210868. The cubic root of 94986144 is about 456.2680787482.

The spelling of 94986144 in words is "ninety-four million, nine hundred eighty-six thousand, one hundred forty-four".