668739600 has 135 divisors (see below), whose sum is σ = 2326109149. Its totient is φ = 177916800.

The previous prime is 668739527. The next prime is 668739613. The reversal of 668739600 is 6937866.

The square root of 668739600 is 25860.

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

668739600 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 39 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 240746256 + 427993344 = 15516^2 + 20688^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

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, 1551385 + ... + 1551815.

Almost surely, 2^668739600 is an apocalyptic number.

668739600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

668739600 is the 25860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668739600

668739600 is an abundant number, since it is smaller than the sum of its proper divisors (1657369549).

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

668739600 is a wasteful number, since it uses less digits than its factorization.

668739600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 668739600 is about 874.4849649311.

The spelling of 668739600 in words is "six hundred sixty-eight million, seven hundred thirty-nine thousand, six hundred".