581680407 has 32 divisors (see below), whose sum is σ = 990549504. Its totient is φ = 294796800.

The previous prime is 581680387. The next prime is 581680427. The reversal of 581680407 is 704086185.

It is an interprime number because it is at equal distance from previous prime (581680387) and next prime (581680427).

It is not a de Polignac number, because 581680407 - 2⁶ = 581680343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (581680427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21238 + ... + 40179.

It is an arithmetic number, because the mean of its divisors is an integer number (30954672).

Almost surely, 2^581680407 is an apocalyptic number.

581680407 is a deficient number, since it is larger than the sum of its proper divisors (408869097).

581680407 is a wasteful number, since it uses less digits than its factorization.

581680407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61479.

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 581680407 is about 24118.0514760210. The cubic root of 581680407 is about 834.7597080687.

The spelling of 581680407 in words is "five hundred eighty-one million, six hundred eighty thousand, four hundred seven".