84320544 has 288 divisors, whose sum is σ = 299230848. Its totient is φ = 20275200.

The previous prime is 84320519. The next prime is 84320563. The reversal of 84320544 is 44502348.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1382274 + ... + 1382334.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 2^84320544 is an apocalyptic number.

84320544 is a gapful number since it is divisible by the number (84) 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 84320544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149615424).

84320544 is an abundant number, since it is smaller than the sum of its proper divisors (214910304).

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

84320544 is a wasteful number, since it uses less digits than its factorization.

84320544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 84320544 is about 9182.6218478167. The cubic root of 84320544 is about 438.5082817226.

The spelling of 84320544 in words is "eighty-four million, three hundred twenty thousand, five hundred forty-four".