66358120 has 64 divisors (see below), whose sum is σ = 154023120. Its totient is φ = 25718784.

The previous prime is 66358109. The next prime is 66358141. The reversal of 66358120 is 2185366.

It can be written as a sum of positive squares in 8 ways, for example, as 6728836 + 59629284 = 2594^2 + 7722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239422 + ... + 239698.

Almost surely, 2^66358120 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 66358120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77011560).

66358120 is an abundant number, since it is smaller than the sum of its proper divisors (87665000).

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

66358120 is a wasteful number, since it uses less digits than its factorization.

66358120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 66358120 is about 8146.0493492244. The cubic root of 66358120 is about 404.8536177786.

The spelling of 66358120 in words is "sixty-six million, three hundred fifty-eight thousand, one hundred twenty".