93084768 has 96 divisors (see below), whose sum is σ = 310302720. Its totient is φ = 26593920.

The previous prime is 93084737. The next prime is 93084793. The reversal of 93084768 is 86748039.

It is a happy number.

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

It is a super-2 number, since 2×93084768² = 17329548067227648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 15 ways as a sum of consecutive naturals, for example, 1648 + ... + 13743.

It is an arithmetic number, because the mean of its divisors is an integer number (3232320).

Almost surely, 2^93084768 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 93084768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155151360).

93084768 is an abundant number, since it is smaller than the sum of its proper divisors (217217952).

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

93084768 is a wasteful number, since it uses less digits than its factorization.

93084768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15417 (or 15403 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 93084768 is about 9648.0447760155. The cubic root of 93084768 is about 453.2031017685.

The spelling of 93084768 in words is "ninety-three million, eighty-four thousand, seven hundred sixty-eight".