84975144 has 64 divisors (see below), whose sum is σ = 224716800. Its totient is φ = 26702784.

The previous prime is 84975131. The next prime is 84975167. The reversal of 84975144 is 44157948.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 84975096 and 84975105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139689 + ... + 140295.

It is an arithmetic number, because the mean of its divisors is an integer number (3511200).

Almost surely, 2^84975144 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 84975144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112358400).

84975144 is an abundant number, since it is smaller than the sum of its proper divisors (139741656).

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

84975144 is a wasteful number, since it uses less digits than its factorization.

84975144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 942 (or 938 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 84975144 is about 9218.1963528664. The cubic root of 84975144 is about 439.6401051559.

The spelling of 84975144 in words is "eighty-four million, nine hundred seventy-five thousand, one hundred forty-four".