84342560 has 48 divisors (see below), whose sum is σ = 200636352. Its totient is φ = 33504000.

The previous prime is 84342551. The next prime is 84342563. The reversal of 84342560 is 6524348.

It is a super-2 number, since 2×84342560² = 14227334854707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (84342563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22415 + ... + 25905.

It is an arithmetic number, because the mean of its divisors is an integer number (4179924).

Almost surely, 2^84342560 is an apocalyptic number.

84342560 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 84342560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100318176).

84342560 is an abundant number, since it is smaller than the sum of its proper divisors (116293792).

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

84342560 is a wasteful number, since it uses less digits than its factorization.

84342560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3649 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 84342560 is about 9183.8205557382. The cubic root of 84342560 is about 438.5464430759.

The spelling of 84342560 in words is "eighty-four million, three hundred forty-two thousand, five hundred sixty".