66056040 has 128 divisors (see below), whose sum is σ = 227404800. Its totient is φ = 17038080.

The previous prime is 66056017. The next prime is 66056051. The reversal of 66056040 is 4065066.

66056040 is a `hidden beast` number, since 6 + 60 + 560 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 66055995 and 66056013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32494 + ... + 34466.

It is an arithmetic number, because the mean of its divisors is an integer number (1776600).

Almost surely, 2^66056040 is an apocalyptic number.

66056040 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 66056040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113702400).

66056040 is an abundant number, since it is smaller than the sum of its proper divisors (161348760).

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

66056040 is a wasteful number, since it uses less digits than its factorization.

66056040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2024 (or 2014 counting only the distinct ones).

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

The square root of 66056040 is about 8127.4866963902. The cubic root of 66056040 is about 404.2383490434.

The spelling of 66056040 in words is "sixty-six million, fifty-six thousand, forty", and thus it is an eban number.