84683904 has 64 divisors (see below), whose sum is σ = 227737440. Its totient is φ = 27877376.

The previous prime is 84683903. The next prime is 84683917. The reversal of 84683904 is 40938648.

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

It is not an unprimeable number, because it can be changed into a prime (84683903) 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, 30544 + ... + 33200.

Almost surely, 2^84683904 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 84683904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113868720).

84683904 is an abundant number, since it is smaller than the sum of its proper divisors (143053536).

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

84683904 is a wasteful number, since it uses less digits than its factorization.

84683904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 84683904 is about 9202.3857776122. The cubic root of 84683904 is about 439.1372626470.

The spelling of 84683904 in words is "eighty-four million, six hundred eighty-three thousand, nine hundred four".