84082920 has 64 divisors (see below), whose sum is σ = 253912320. Its totient is φ = 22274304.

The previous prime is 84082903. The next prime is 84082951. The reversal of 84082920 is 2928048.

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, 16609 + ... + 21071.

It is an arithmetic number, because the mean of its divisors is an integer number (3967380).

Almost surely, 2^84082920 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 84082920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126956160).

84082920 is an abundant number, since it is smaller than the sum of its proper divisors (169829400).

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

84082920 is a wasteful number, since it uses less digits than its factorization.

84082920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4634 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 84082920 is about 9169.6739309531. The cubic root of 84082920 is about 438.0959736313.

The spelling of 84082920 in words is "eighty-four million, eighty-two thousand, nine hundred twenty".