84138792 has 64 divisors (see below), whose sum is σ = 215040000. Its totient is φ = 27428544.

The previous prime is 84138781. The next prime is 84138793. The reversal of 84138792 is 29783148.

It is not an unprimeable number, because it can be changed into a prime (84138793) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377193 + ... + 377415.

It is an arithmetic number, because the mean of its divisors is an integer number (3360000).

Almost surely, 2^84138792 is an apocalyptic number.

It is an amenable number.

84138792 is an abundant number, since it is smaller than the sum of its proper divisors (130901208).

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

84138792 is a wasteful number, since it uses less digits than its factorization.

84138792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 506 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 84138792 is about 9172.7199891853. The cubic root of 84138792 is about 438.1929884932.

It can be divided in two parts, 8413 and 8792, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 84138792 in words is "eighty-four million, one hundred thirty-eight thousand, seven hundred ninety-two".