84058880 has 72 divisors (see below), whose sum is σ = 213246432. Its totient is φ = 31637504.

The previous prime is 84058867. The next prime is 84058903. The reversal of 84058880 is 8885048.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19829 + ... + 23691.

It is an arithmetic number, because the mean of its divisors is an integer number (2961756).

Almost surely, 2^84058880 is an apocalyptic number.

84058880 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 84058880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106623216).

84058880 is an abundant number, since it is smaller than the sum of its proper divisors (129187552).

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

84058880 is a wasteful number, since it uses less digits than its factorization.

84058880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3901 (or 3887 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 41.

The square root of 84058880 is about 9168.3629945591. The cubic root of 84058880 is about 438.0542179014.

The spelling of 84058880 in words is "eighty-four million, fifty-eight thousand, eight hundred eighty".