84976320 has 224 divisors, whose sum is σ = 317479680. Its totient is φ = 18984960.

The previous prime is 84976289. The next prime is 84976321. The reversal of 84976320 is 2367948.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (84976321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136971 + ... + 137589.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2^84976320 is an apocalyptic number.

84976320 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 84976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158739840).

84976320 is an abundant number, since it is smaller than the sum of its proper divisors (232503360).

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

84976320 is a wasteful number, since it uses less digits than its factorization.

84976320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 84976320 is about 9218.2601395274. The cubic root of 84976320 is about 439.6421332563.

The spelling of 84976320 in words is "eighty-four million, nine hundred seventy-six thousand, three hundred twenty".