84129792 has 48 divisors (see below), whose sum is σ = 224307720. Its totient is φ = 28041216.

The previous prime is 84129781. The next prime is 84129833. The reversal of 84129792 is 29792148.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 703 + ... + 12990.

Almost surely, 2^84129792 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 84129792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112153860).

84129792 is an abundant number, since it is smaller than the sum of its proper divisors (140177928).

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

84129792 is a wasteful number, since it uses less digits than its factorization.

84129792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13718 (or 13698 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 84129792 is about 9172.2293909387. The cubic root of 84129792 is about 438.1773640017.

The spelling of 84129792 in words is "eighty-four million, one hundred twenty-nine thousand, seven hundred ninety-two".