680958252 has 240 divisors, whose sum is σ = 2064240640. Its totient is φ = 193995648.

The previous prime is 680958247. The next prime is 680958269. The reversal of 680958252 is 252859086.

680958252 is a `hidden beast` number, since 68 + 0 + 9 + 582 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 680958198 and 680958207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5361813 + ... + 5361939.

Almost surely, 2^680958252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680958252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1032120320).

680958252 is an abundant number, since it is smaller than the sum of its proper divisors (1383282388).

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

680958252 is a wasteful number, since it uses less digits than its factorization.

680958252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 680958252 is about 26095.1767957222. The cubic root of 680958252 is about 879.7788063208.

The spelling of 680958252 in words is "six hundred eighty million, nine hundred fifty-eight thousand, two hundred fifty-two".