84123792 has 160 divisors (see below), whose sum is σ = 261987200. Its totient is φ = 25754112.

The previous prime is 84123791. The next prime is 84123817. The reversal of 84123792 is 29732148.

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 (84123791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303558 + ... + 303834.

It is an arithmetic number, because the mean of its divisors is an integer number (1637420).

Almost surely, 2^84123792 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 84123792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130993600).

84123792 is an abundant number, since it is smaller than the sum of its proper divisors (177863408).

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

84123792 is a wasteful number, since it uses less digits than its factorization.

84123792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 84123792 is about 9171.9023108622. The cubic root of 84123792 is about 438.1669470550.

The spelling of 84123792 in words is "eighty-four million, one hundred twenty-three thousand, seven hundred ninety-two".