84015360 has 576 divisors, whose sum is σ = 370863360. Its totient is φ = 17694720.

The previous prime is 84015341. The next prime is 84015391. The reversal of 84015360 is 6351048.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4942072 + ... + 4942088.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 2^84015360 is an apocalyptic number.

84015360 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 84015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185431680).

84015360 is an abundant number, since it is smaller than the sum of its proper divisors (286848000).

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

84015360 is a wasteful number, since it uses less digits than its factorization.

84015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 84015360 is about 9165.9893083071. The cubic root of 84015360 is about 437.9786065738.

The spelling of 84015360 in words is "eighty-four million, fifteen thousand, three hundred sixty".