84022560 has 288 divisors, whose sum is σ = 313709760. Its totient is φ = 20404224.

The previous prime is 84022537. The next prime is 84022567. The reversal of 84022560 is 6522048.

84022560 is a `hidden beast` number, since 8 + 402 + 256 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (84022567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1012279 + ... + 1012361.

It is an arithmetic number, because the mean of its divisors is an integer number (1089270).

Almost surely, 2^84022560 is an apocalyptic number.

84022560 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 84022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156854880).

84022560 is an abundant number, since it is smaller than the sum of its proper divisors (229687200).

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

84022560 is a wasteful number, since it uses less digits than its factorization.

84022560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 84022560 is about 9166.3820561877. The cubic root of 84022560 is about 437.9911176031.

The spelling of 84022560 in words is "eighty-four million, twenty-two thousand, five hundred sixty".