84075904 has 64 divisors (see below), whose sum is σ = 184236480. Its totient is φ = 37900800.

The previous prime is 84075899. The next prime is 84075907. The reversal of 84075904 is 40957048.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84075907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296947 + ... + 297229.

It is an arithmetic number, because the mean of its divisors is an integer number (2878695).

Almost surely, 2^84075904 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 84075904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92118240).

84075904 is an abundant number, since it is smaller than the sum of its proper divisors (100160576).

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

84075904 is a wasteful number, since it uses less digits than its factorization.

84075904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 84075904 is about 9169.2913575696. The cubic root of 84075904 is about 438.0837881726.

The spelling of 84075904 in words is "eighty-four million, seventy-five thousand, nine hundred four".