93924864 has 240 divisors, whose sum is σ = 315984240. Its totient is φ = 26542080.

The previous prime is 93924841. The next prime is 93924889. The reversal of 93924864 is 46842939.

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

It is a congruent number.

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, 861642 + ... + 861750.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601).

Almost surely, 2^93924864 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 93924864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157992120).

93924864 is an abundant number, since it is smaller than the sum of its proper divisors (222059376).

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

93924864 is a wasteful number, since it uses less digits than its factorization.

93924864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 142 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 93924864 is about 9691.4840968760. The cubic root of 93924864 is about 454.5624163174.

The spelling of 93924864 in words is "ninety-three million, nine hundred twenty-four thousand, eight hundred sixty-four".