668577 has 32 divisors (see below), whose sum is σ = 1146880. Its totient is φ = 336960.

The previous prime is 668567. The next prime is 668579. The reversal of 668577 is 775866.

It is not a de Polignac number, because 668577 - 2⁶ = 668513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

668577 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (668579) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8424 + ... + 8502.

It is an arithmetic number, because the mean of its divisors is an integer number (35840).

2⁶⁶⁸⁵⁷⁷ is an apocalyptic number.

It is an amenable number.

668577 is a deficient number, since it is larger than the sum of its proper divisors (478303).

668577 is a wasteful number, since it uses less digits than its factorization.

668577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133.

The product of its digits is 70560, while the sum is 39.

The square root of 668577 is about 817.6655795617. The cubic root of 668577 is about 87.4414083938.

The spelling of 668577 in words is "six hundred sixty-eight thousand, five hundred seventy-seven".