84138720 has 96 divisors (see below), whose sum is σ = 269619840. Its totient is φ = 22049280.

The previous prime is 84138689. The next prime is 84138739. The reversal of 84138720 is 2783148.

It is a tau number, because it is divible by the number of its divisors (96).

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, 26835 + ... + 29805.

It is an arithmetic number, because the mean of its divisors is an integer number (2808540).

Almost surely, 2^84138720 is an apocalyptic number.

84138720 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 84138720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134809920).

84138720 is an abundant number, since it is smaller than the sum of its proper divisors (185481120).

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

84138720 is a wasteful number, since it uses less digits than its factorization.

84138720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 84138720 is about 9172.7160645035. The cubic root of 84138720 is about 438.1928635017.

The spelling of 84138720 in words is "eighty-four million, one hundred thirty-eight thousand, seven hundred twenty".