94368384 has 144 divisors (see below), whose sum is σ = 298926810. Its totient is φ = 28554240.

The previous prime is 94368311. The next prime is 94368397. The reversal of 94368384 is 48386349.

94368384 = T₁₅₂ + T₁₅₃ + ... + T₈₂₈.

It can be written as a sum of positive squares in only one way, i.e., 50808384 + 43560000 = 7128^2 + 6600^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 139054 + ... + 139730.

Almost surely, 2^94368384 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 94368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149463405).

94368384 is an abundant number, since it is smaller than the sum of its proper divisors (204558426).

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

94368384 is a wasteful number, since it uses less digits than its factorization.

94368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 94368384 is about 9714.3390922903. The cubic root of 94368384 is about 455.2767852611.

The spelling of 94368384 in words is "ninety-four million, three hundred sixty-eight thousand, three hundred eighty-four".