66481056 has 72 divisors (see below), whose sum is σ = 189876960. Its totient is φ = 22064256.

The previous prime is 66481043. The next prime is 66481061. The reversal of 66481056 is 65018466.

66481056 is a `hidden beast` number, since 6 + 648 + 1 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 66481056.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 103071 + ... + 103713.

It is an arithmetic number, because the mean of its divisors is an integer number (2637180).

Almost surely, 2^66481056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66481056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94938480).

66481056 is an abundant number, since it is smaller than the sum of its proper divisors (123395904).

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

66481056 is a wasteful number, since it uses less digits than its factorization.

66481056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 66481056 is about 8153.5916012516. The cubic root of 66481056 is about 405.1034760748.

The spelling of 66481056 in words is "sixty-six million, four hundred eighty-one thousand, fifty-six".