84113920 has 160 divisors (see below), whose sum is σ = 229806720. Its totient is φ = 29245440.

The previous prime is 84113903. The next prime is 84113941. The reversal of 84113920 is 2931148.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816589 + ... + 816691.

It is an arithmetic number, because the mean of its divisors is an integer number (1436292).

Almost surely, 2^84113920 is an apocalyptic number.

84113920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84113920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114903360).

84113920 is an abundant number, since it is smaller than the sum of its proper divisors (145692800).

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

84113920 is a wasteful number, since it uses less digits than its factorization.

84113920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 84113920 is about 9171.3641297247. The cubic root of 84113920 is about 438.1498066273.

The spelling of 84113920 in words is "eighty-four million, one hundred thirteen thousand, nine hundred twenty".