84519792 has 120 divisors (see below), whose sum is σ = 272363520. Its totient is φ = 23967360.

The previous prime is 84519791. The next prime is 84519797. The reversal of 84519792 is 29791548.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84519791) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 192309 + ... + 192747.

It is an arithmetic number, because the mean of its divisors is an integer number (2269696).

Almost surely, 2^84519792 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 84519792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136181760).

84519792 is an abundant number, since it is smaller than the sum of its proper divisors (187843728).

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

84519792 is a wasteful number, since it uses less digits than its factorization.

84519792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 642 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 84519792 is about 9193.4646352722. The cubic root of 84519792 is about 438.8534058752.

The spelling of 84519792 in words is "eighty-four million, five hundred nineteen thousand, seven hundred ninety-two".