664189120 has 84 divisors (see below), whose sum is σ = 1839864240. Its totient is φ = 227716608.

The previous prime is 664189091. The next prime is 664189139. The reversal of 664189120 is 21981466.

It is a happy number.

It is a super-2 number, since 2×664189120² = 882294374252748800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 664189120.

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, 5500 + ... + 36859.

Almost surely, 2^664189120 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 664189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919932120).

664189120 is an abundant number, since it is smaller than the sum of its proper divisors (1175675120).

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

664189120 is a wasteful number, since it uses less digits than its factorization.

664189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42390 (or 42373 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 664189120 is about 25771.8668318770. The cubic root of 664189120 is about 872.4969532163.

The spelling of 664189120 in words is "six hundred sixty-four million, one hundred eighty-nine thousand, one hundred twenty".