680029967 has 16 divisors (see below), whose sum is σ = 703654752. Its totient is φ = 656916480.

The previous prime is 680029949. The next prime is 680029979. The reversal of 680029967 is 769920086.

It is a cyclic number.

It is not a de Polignac number, because 680029967 - 2¹⁶ = 679964431 is a prime.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680025967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256717 + ... + 1257257.

It is an arithmetic number, because the mean of its divisors is an integer number (43978422).

Almost surely, 2^680029967 is an apocalyptic number.

680029967 is a gapful number since it is divisible by the number (67) formed by its first and last digit.

680029967 is a deficient number, since it is larger than the sum of its proper divisors (23624785).

680029967 is a wasteful number, since it uses less digits than its factorization.

680029967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 938.

The product of its (nonzero) digits is 326592, while the sum is 47.

The square root of 680029967 is about 26077.3842054758. The cubic root of 680029967 is about 879.3788518688.

The spelling of 680029967 in words is "six hundred eighty million, twenty-nine thousand, nine hundred sixty-seven".