664092900 has 81 divisors (see below), whose sum is σ = 2083988361. Its totient is φ = 176885280.

The previous prime is 664092893. The next prime is 664092907. The reversal of 664092900 is 9290466.

The square root of 664092900 is 25770.

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

664092900 is a `hidden beast` number, since 6 + 640 + 9 + 2 + 9 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (664092893) and next prime (664092907).

It can be written as a sum of positive squares in only one way, i.e., 239073444 + 425019456 = 15462^2 + 20616^2 .

It is a super-3 number, since 3×664092900³ (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 not an unprimeable number, because it can be changed into a prime (664092907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 772671 + ... + 773529.

Almost surely, 2^664092900 is an apocalyptic number.

664092900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

664092900 is the 25770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664092900

664092900 is an abundant number, since it is smaller than the sum of its proper divisors (1419895461).

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

664092900 is a wasteful number, since it uses less digits than its factorization.

664092900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 664092900 is about 872.4548187757.

Multiplying 664092900 by its sum of digits (36), we get a square (23907344400 = 154620²).

664092900 divided by its sum of digits (36) gives a square (18447025 = 4295²).

The spelling of 664092900 in words is "six hundred sixty-four million, ninety-two thousand, nine hundred".