93868992 has 168 divisors, whose sum is σ = 317837312. Its totient is φ = 25920000.

The previous prime is 93868981. The next prime is 93869033. The reversal of 93868992 is 29986839.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×93868992² = 17622775318192128, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124617 + ... + 125367.

Almost surely, 2^93868992 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 93868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158918656).

93868992 is an abundant number, since it is smaller than the sum of its proper divisors (223968320).

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

93868992 is a wasteful number, since it uses less digits than its factorization.

93868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 794 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The square root of 93868992 is about 9688.6011374192. The cubic root of 93868992 is about 454.4722650062.

The spelling of 93868992 in words is "ninety-three million, eight hundred sixty-eight thousand, nine hundred ninety-two".