84339360 has 192 divisors, whose sum is σ = 337478400. Its totient is φ = 19270656.

The previous prime is 84339331. The next prime is 84339361. The reversal of 84339360 is 6393348.

It is a super-2 number, since 2×84339360² = 14226255290419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84339361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 28846 + ... + 31634.

It is an arithmetic number, because the mean of its divisors is an integer number (1757700).

Almost surely, 2^84339360 is an apocalyptic number.

84339360 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 84339360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168739200).

84339360 is an abundant number, since it is smaller than the sum of its proper divisors (253139040).

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

84339360 is a wasteful number, since it uses less digits than its factorization.

84339360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 84339360 is about 9183.6463346538. The cubic root of 84339360 is about 438.5408967801.

The spelling of 84339360 in words is "eighty-four million, three hundred thirty-nine thousand, three hundred sixty".