84731904 has 72 divisors (see below), whose sum is σ = 244774530. Its totient is φ = 28237824.

The previous prime is 84731891. The next prime is 84731921. The reversal of 84731904 is 40913748.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 83174400 + 1557504 = 9120^2 + 1248^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16134 + ... + 20730.

Almost surely, 2^84731904 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 84731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122387265).

84731904 is an abundant number, since it is smaller than the sum of its proper divisors (160042626).

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

84731904 is a wasteful number, since it uses less digits than its factorization.

84731904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4602 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 84731904 is about 9204.9934274827. The cubic root of 84731904 is about 439.2202166533.

The spelling of 84731904 in words is "eighty-four million, seven hundred thirty-one thousand, nine hundred four".