680569824 has 144 divisors (see below), whose sum is σ = 2012970960. Its totient is φ = 201062400.

The previous prime is 680569819. The next prime is 680569829. The reversal of 680569824 is 428965086.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (680569819) and next prime (680569829).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (680569829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 475542 + ... + 476970.

It is an arithmetic number, because the mean of its divisors is an integer number (13978965).

Almost surely, 2^680569824 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 680569824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006485480).

680569824 is an abundant number, since it is smaller than the sum of its proper divisors (1332401136).

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

680569824 is a wasteful number, since it uses less digits than its factorization.

680569824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1505 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The square root of 680569824 is about 26087.7332093074. The cubic root of 680569824 is about 879.6114951737.

The spelling of 680569824 in words is "six hundred eighty million, five hundred sixty-nine thousand, eight hundred twenty-four".