84883968 has 180 divisors, whose sum is σ = 267708870. Its totient is φ = 25878528.

The previous prime is 84883937. The next prime is 84883973. The reversal of 84883968 is 86938848.

It can be written as a sum of positive squares in 3 ways, for example, as 51151104 + 33732864 = 7152^2 + 5808^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 778698 + ... + 778806.

Almost surely, 2^84883968 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 84883968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133854435).

84883968 is an abundant number, since it is smaller than the sum of its proper divisors (182824902).

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

84883968 is a wasteful number, since it uses less digits than its factorization.

84883968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 84883968 is about 9213.2495895856. The cubic root of 84883968 is about 439.4828082906.

The spelling of 84883968 in words is "eighty-four million, eight hundred eighty-three thousand, nine hundred sixty-eight".