680575953 has 16 divisors (see below), whose sum is σ = 986009600. Its totient is φ = 415970640.

The previous prime is 680575949. The next prime is 680575979. The reversal of 680575953 is 359575086.

It is not a de Polignac number, because 680575953 - 2² = 680575949 is a prime.

It is a Smith number, since the sum of its digits (48) 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 not an unprimeable number, because it can be changed into a prime (680575853) 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, 190813 + ... + 194346.

It is an arithmetic number, because the mean of its divisors is an integer number (61625600).

Almost surely, 2^680575953 is an apocalyptic number.

It is an amenable number.

680575953 is a deficient number, since it is larger than the sum of its proper divisors (305433647).

680575953 is a wasteful number, since it uses less digits than its factorization.

680575953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385212.

The product of its (nonzero) digits is 1134000, while the sum is 48.

The square root of 680575953 is about 26087.8506780455. The cubic root of 680575953 is about 879.6141356682.

It can be divided in two parts, 680575 and 953, that added together give a triangular number (681528 = T₁₁₆₇).

The spelling of 680575953 in words is "six hundred eighty million, five hundred seventy-five thousand, nine hundred fifty-three".