66562560 has 240 divisors, whose sum is σ = 241297056. Its totient is φ = 17584128.

The previous prime is 66562543. The next prime is 66562583. The reversal of 66562560 is 6526566.

66562560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622027 + ... + 622133.

Almost surely, 2^66562560 is an apocalyptic number.

66562560 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 66562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120648528).

66562560 is an abundant number, since it is smaller than the sum of its proper divisors (174734496).

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

66562560 is an equidigital number, since it uses as much as digits as its factorization.

66562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 66562560 is about 8158.5881131480. The cubic root of 66562560 is about 405.2689571507.

It can be divided in two parts, 6656 and 2560, that added together give a square (9216 = 96²).

The spelling of 66562560 in words is "sixty-six million, five hundred sixty-two thousand, five hundred sixty".