84979872 has 108 divisors (see below), whose sum is σ = 256964526. Its totient is φ = 26634240.

The previous prime is 84979859. The next prime is 84979879. The reversal of 84979872 is 27897948.

It can be written as a sum of positive squares in 3 ways, for example, as 84713616 + 266256 = 9204^2 + 516^2 .

It is not an unprimeable number, because it can be changed into a prime (84979879) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 82722 + ... + 83742.

Almost surely, 2^84979872 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 84979872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128482263).

84979872 is an abundant number, since it is smaller than the sum of its proper divisors (171984654).

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

84979872 is a wasteful number, since it uses less digits than its factorization.

84979872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1043 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 84979872 is about 9218.4527985991. The cubic root of 84979872 is about 439.6482588338.

The spelling of 84979872 in words is "eighty-four million, nine hundred seventy-nine thousand, eight hundred seventy-two".