93775968 has 360 divisors, whose sum is σ = 340656624. Its totient is φ = 25090560.

The previous prime is 93775967. The next prime is 93775999. The reversal of 93775968 is 86957739.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2857680) is a multiple of the sum of its prime factors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93775967) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4077205 + ... + 4077227.

Almost surely, 2^93775968 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 93775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170328312).

93775968 is an abundant number, since it is smaller than the sum of its proper divisors (246880656).

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

93775968 is a wasteful number, since it uses less digits than its factorization.

93775968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 52 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 93775968 is about 9683.7992544249. The cubic root of 93775968 is about 454.3220883249.

The spelling of 93775968 in words is "ninety-three million, seven hundred seventy-five thousand, nine hundred sixty-eight".