680189952 has 112 divisors (see below), whose sum is σ = 1954164240. Its totient is φ = 209190912.

The previous prime is 680189947. The next prime is 680190001. The reversal of 680189952 is 259981086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318424 + ... + 320552.

It is an arithmetic number, because the mean of its divisors is an integer number (17447895).

Almost surely, 2^680189952 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 680189952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977082120).

680189952 is an abundant number, since it is smaller than the sum of its proper divisors (1273974288).

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

680189952 is a wasteful number, since it uses less digits than its factorization.

680189952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 680189952 is about 26080.4515298336. The cubic root of 680189952 is about 879.4478078468.

The spelling of 680189952 in words is "six hundred eighty million, one hundred eighty-nine thousand, nine hundred fifty-two".