84393504 has 72 divisors (see below), whose sum is σ = 258466572. Its totient is φ = 25966080.

The previous prime is 84393503. The next prime is 84393521. The reversal of 84393504 is 40539348.

It can be written as a sum of positive squares in 2 ways, for example, as 84272400 + 121104 = 9180^2 + 348^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (84393503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7527 + ... + 15014.

Almost surely, 2^84393504 is an apocalyptic number.

It is an amenable number.

84393504 is an abundant number, since it is smaller than the sum of its proper divisors (174073068).

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

84393504 is a wasteful number, since it uses less digits than its factorization.

84393504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22570 (or 22559 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 84393504 is about 9186.5937104021. The cubic root of 84393504 is about 438.6347212175.

The spelling of 84393504 in words is "eighty-four million, three hundred ninety-three thousand, five hundred four".