680813952 has 128 divisors (see below), whose sum is σ = 2225852160. Its totient is φ = 179546112.

The previous prime is 680813951. The next prime is 680813953. The reversal of 680813952 is 259318086.

It is an interprime number because it is at equal distance from previous prime (680813951) and next prime (680813953).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680813951) 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, 25203 + ... + 44685.

It is an arithmetic number, because the mean of its divisors is an integer number (17389470).

Almost surely, 2^680813952 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 680813952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112926080).

680813952 is an abundant number, since it is smaller than the sum of its proper divisors (1545038208).

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

680813952 is a wasteful number, since it uses less digits than its factorization.

680813952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19520 (or 19508 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 680813952 is about 26092.4117704746. The cubic root of 680813952 is about 879.7166580908.

The spelling of 680813952 in words is "six hundred eighty million, eight hundred thirteen thousand, nine hundred fifty-two".