84370320 has 240 divisors, whose sum is σ = 307627632. Its totient is φ = 20643840.

The previous prime is 84370301. The next prime is 84370331. The reversal of 84370320 is 2307348.

It can be written as a sum of positive squares in 8 ways, for example, as 23155344 + 61214976 = 4812^2 + 7824^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746584 + ... + 746696.

Almost surely, 2^84370320 is an apocalyptic number.

84370320 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 84370320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153813816).

84370320 is an abundant number, since it is smaller than the sum of its proper divisors (223257312).

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

84370320 is a wasteful number, since it uses less digits than its factorization.

84370320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 84370320 is about 9185.3317849711. The cubic root of 84370320 is about 438.5945513061.

Adding to 84370320 its reverse (2307348), we get a palindrome (86677668).

The spelling of 84370320 in words is "eighty-four million, three hundred seventy thousand, three hundred twenty".