688872520 has 64 divisors (see below), whose sum is σ = 1788998400. Its totient is φ = 233836800.

The previous prime is 688872491. The next prime is 688872523. The reversal of 688872520 is 25278886.

It is a happy number.

It is a super-2 number, since 2×688872520² = 949090697622300800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (688872523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16101 + ... + 40459.

It is an arithmetic number, because the mean of its divisors is an integer number (27953100).

Almost surely, 2^688872520 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 688872520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894499200).

688872520 is an abundant number, since it is smaller than the sum of its proper divisors (1100125880).

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

688872520 is a wasteful number, since it uses less digits than its factorization.

688872520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24478 (or 24474 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The square root of 688872520 is about 26246.3810838752. The cubic root of 688872520 is about 883.1740235623.

The spelling of 688872520 in words is "six hundred eighty-eight million, eight hundred seventy-two thousand, five hundred twenty".