93790464 has 72 divisors (see below), whose sum is σ = 252393120. Its totient is φ = 30916608.

The previous prime is 93790457. The next prime is 93790483. The reversal of 93790464 is 46409739.

It is a super-2 number, since 2×93790464² = 17593302274670592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73867 + ... + 75125.

It is an arithmetic number, because the mean of its divisors is an integer number (3505460).

Almost surely, 2^93790464 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 93790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126196560).

93790464 is an abundant number, since it is smaller than the sum of its proper divisors (158602656).

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

93790464 is a wasteful number, since it uses less digits than its factorization.

93790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 93790464 is about 9684.5476920711. The cubic root of 93790464 is about 454.3454970006.

The spelling of 93790464 in words is "ninety-three million, seven hundred ninety thousand, four hundred sixty-four".