93634416 has 120 divisors (see below), whose sum is σ = 271589760. Its totient is φ = 30100608.

The previous prime is 93634367. The next prime is 93634423. The reversal of 93634416 is 61443639.

93634416 is a `hidden beast` number, since 9 + 3 + 634 + 4 + 16 = 666.

It is a super-2 number, since 2×93634416² = 17534807719322112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 875035 + ... + 875141.

It is an arithmetic number, because the mean of its divisors is an integer number (2263248).

Almost surely, 2^93634416 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 93634416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135794880).

93634416 is an abundant number, since it is smaller than the sum of its proper divisors (177955344).

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

93634416 is a wasteful number, since it uses less digits than its factorization.

93634416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 93634416 is about 9676.4877925826. The cubic root of 93634416 is about 454.0933780384.

The spelling of 93634416 in words is "ninety-three million, six hundred thirty-four thousand, four hundred sixteen".