682905601 has 24 divisors (see below), whose sum is σ = 829521000. Its totient is φ = 559851264.

The previous prime is 682905593. The next prime is 682905617. The reversal of 682905601 is 106509286.

It can be written as a sum of positive squares in 4 ways, for example, as 42562576 + 640343025 = 6524^2 + 25305^2 .

It is not a de Polignac number, because 682905601 - 2³ = 682905593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (682905631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152685 + ... + 157093.

It is an arithmetic number, because the mean of its divisors is an integer number (34563375).

Almost surely, 2^682905601 is an apocalyptic number.

It is an amenable number.

682905601 is a deficient number, since it is larger than the sum of its proper divisors (146615399).

682905601 is a wasteful number, since it uses less digits than its factorization.

682905601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4561 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 682905601 is about 26132.4625896604. The cubic root of 682905601 is about 880.6166481115.

The spelling of 682905601 in words is "six hundred eighty-two million, nine hundred five thousand, six hundred one".