517164640 has 24 divisors (see below), whose sum is σ = 1221801840. Its totient is φ = 206865792.

The previous prime is 517164589. The next prime is 517164647. The reversal of 517164640 is 46461715.

It is a junction number, because it is equal to n+sod(n) for n = 517164596 and 517164605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517164647) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1615980 + ... + 1616299.

It is an arithmetic number, because the mean of its divisors is an integer number (50908410).

Almost surely, 2^517164640 is an apocalyptic number.

It is an amenable number.

517164640 is an abundant number, since it is smaller than the sum of its proper divisors (704637200).

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

517164640 is a wasteful number, since it uses less digits than its factorization.

517164640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3232294 (or 3232286 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 517164640 is about 22741.2541430766. The cubic root of 517164640 is about 802.6809224494.

It can be divided in two parts, 5171 and 64640, that multiplied together give a triangular number (334253440 = T₂₅₈₅₅).

The spelling of 517164640 in words is "five hundred seventeen million, one hundred sixty-four thousand, six hundred forty".