84322560 has 144 divisors (see below), whose sum is σ = 307875456. Its totient is φ = 19267584.

The previous prime is 84322547. The next prime is 84322561. The reversal of 84322560 is 6522348.

It is a super-2 number, since 2×84322560² = 14220588249907200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (84322561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25312 + ... + 28448.

It is an arithmetic number, because the mean of its divisors is an integer number (2138024).

Almost surely, 2^84322560 is an apocalyptic number.

84322560 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 84322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153937728).

84322560 is an abundant number, since it is smaller than the sum of its proper divisors (223552896).

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

84322560 is a wasteful number, since it uses less digits than its factorization.

84322560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3168 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 84322560 is about 9182.7316197306. The cubic root of 84322560 is about 438.5117764251.

The spelling of 84322560 in words is "eighty-four million, three hundred twenty-two thousand, five hundred sixty".