84125952 has 90 divisors (see below), whose sum is σ = 250910198. Its totient is φ = 28035072.

The previous prime is 84125941. The next prime is 84125953. The reversal of 84125952 is 25952148.

It can be written as a sum of positive squares in only one way, i.e., 72182016 + 11943936 = 8496^2 + 3456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84125953) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 18708 + ... + 22764.

Almost surely, 2^84125952 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 84125952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125455099).

84125952 is an abundant number, since it is smaller than the sum of its proper divisors (166784246).

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

84125952 is an equidigital number, since it uses as much as digits as its factorization.

84125952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4085 (or 4062 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 84125952 is about 9172.0200610334. The cubic root of 84125952 is about 438.1706972128.

The spelling of 84125952 in words is "eighty-four million, one hundred twenty-five thousand, nine hundred fifty-two".