66121344 has 48 divisors (see below), whose sum is σ = 190274370. Its totient is φ = 22040064.

The previous prime is 66121309. The next prime is 66121351. The reversal of 66121344 is 44312166.

66121344 is a `hidden beast` number, since 6 + 612 + 1 + 3 + 44 = 666.

66121344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65415744 + 705600 = 8088^2 + 840^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

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 5 ways as a sum of consecutive naturals, for example, 27547 + ... + 29850.

Almost surely, 2^66121344 is an apocalyptic number.

66121344 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66121344 is an abundant number, since it is smaller than the sum of its proper divisors (124153026).

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

66121344 is a wasteful number, since it uses less digits than its factorization.

66121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57417 (or 57402 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 66121344 is about 8131.5031820691. The cubic root of 66121344 is about 404.3715172172.

The spelling of 66121344 in words is "sixty-six million, one hundred twenty-one thousand, three hundred forty-four".