66038920 has 32 divisors (see below), whose sum is σ = 148959000. Its totient is φ = 26349568.

The previous prime is 66038909. The next prime is 66038963. The reversal of 66038920 is 2983066.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 62062884 + 3976036 = 7878^2 + 1994^2 .

It is a super-2 number, since 2×66038920² = 8722277909532800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16122 + ... + 19798.

Almost surely, 2^66038920 is an apocalyptic number.

It is an amenable number.

66038920 is an abundant number, since it is smaller than the sum of its proper divisors (82920080).

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

66038920 is a wasteful number, since it uses less digits than its factorization.

66038920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4137 (or 4133 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 66038920 is about 8126.4334120203. The cubic root of 66038920 is about 404.2034233526.

The spelling of 66038920 in words is "sixty-six million, thirty-eight thousand, nine hundred twenty".