664402176 has 135 divisors (see below), whose sum is σ = 1992256651. Its totient is φ = 220230144.

The previous prime is 664402163. The next prime is 664402183. The reversal of 664402176 is 671204466.

The square root of 664402176 is 25776.

It is a perfect power (a square), and thus also a powerful number.

664402176 is a `hidden beast` number, since 6 + 644 + 0 + 2 + 1 + 7 + 6 = 666.

It is a super-3 number, since 3×664402176³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 664402176.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3711655 + ... + 3711833.

Almost surely, 2^664402176 is an apocalyptic number.

664402176 is the 25776-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664402176

664402176 is an abundant number, since it is smaller than the sum of its proper divisors (1327854475).

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

664402176 is an frugal number, since it uses more digits than its factorization.

664402176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The cubic root of 664402176 is about 872.5902353014.

Multiplying 664402176 by its sum of digits (36), we get a square (23918478336 = 154656²).

664402176 divided by its sum of digits (36) gives a square (18455616 = 4296²).

The spelling of 664402176 in words is "six hundred sixty-four million, four hundred two thousand, one hundred seventy-six".