655769664 has 189 divisors, whose sum is σ = 2087575581. Its totient is φ = 196669440.

The previous prime is 655769627. The next prime is 655769683. The reversal of 655769664 is 466967556.

The square root of 655769664 is 25608.

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

655769664 is a `hidden beast` number, since 6 + 5 + 576 + 9 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 294465600 + 361304064 = 17160^2 + 19008^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 655769664.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6760464 + ... + 6760560.

Almost surely, 2^655769664 is an apocalyptic number.

655769664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

655769664 is the 25608-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 655769664

655769664 is an abundant number, since it is smaller than the sum of its proper divisors (1431805917).

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

655769664 is a wasteful number, since it uses less digits than its factorization.

655769664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 113 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The cubic root of 655769664 is about 868.7945890611.

The spelling of 655769664 in words is "six hundred fifty-five million, seven hundred sixty-nine thousand, six hundred sixty-four".