66022560 has 384 divisors, whose sum is σ = 261273600. Its totient is φ = 15482880.

The previous prime is 66022547. The next prime is 66022571. The reversal of 66022560 is 6522066.

66022560 is a `hidden beast` number, since 6 + 602 + 2 + 56 + 0 = 666.

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

It is a congruent number.

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, 2129745 + ... + 2129775.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 2^66022560 is an apocalyptic number.

66022560 is a gapful number since it is divisible by the number (60) 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 66022560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

66022560 is an abundant number, since it is smaller than the sum of its proper divisors (195251040).

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

66022560 is a wasteful number, since it uses less digits than its factorization.

66022560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 66022560 is about 8125.4267580232. The cubic root of 66022560 is about 404.1700424607.

It can be divided in two parts, 660 and 22560, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 66022560 in words is "sixty-six million, twenty-two thousand, five hundred sixty".