84020832 has 144 divisors (see below), whose sum is σ = 277385472. Its totient is φ = 23627520.

The previous prime is 84020809. The next prime is 84020837. The reversal of 84020832 is 23802048.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 84020796 and 84020805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84020837) 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, 142843 + ... + 143429.

It is an arithmetic number, because the mean of its divisors is an integer number (1926288).

Almost surely, 2^84020832 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 84020832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138692736).

84020832 is an abundant number, since it is smaller than the sum of its proper divisors (193364640).

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

84020832 is a wasteful number, since it uses less digits than its factorization.

84020832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 84020832 is about 9166.2877982311. The cubic root of 84020832 is about 437.9881150212.

The spelling of 84020832 in words is "eighty-four million, twenty thousand, eight hundred thirty-two".