84125844 has 96 divisors (see below), whose sum is σ = 250521600. Its totient is φ = 24144480.

The previous prime is 84125837. The next prime is 84125851. The reversal of 84125844 is 44852148.

It is an interprime number because it is at equal distance from previous prime (84125837) and next prime (84125851).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 84125799 and 84125808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20709 + ... + 24435.

It is an arithmetic number, because the mean of its divisors is an integer number (2609600).

Almost surely, 2^84125844 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 84125844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125260800).

84125844 is an abundant number, since it is smaller than the sum of its proper divisors (166395756).

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

84125844 is a wasteful number, since it uses less digits than its factorization.

84125844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3770 (or 3762 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 84125844 is about 9172.0141735608. The cubic root of 84125844 is about 438.1705097065.

The spelling of 84125844 in words is "eighty-four million, one hundred twenty-five thousand, eight hundred forty-four".