688117824 has 63 divisors (see below), whose sum is σ = 1974171693. Its totient is φ = 229162752.

The previous prime is 688117817. The next prime is 688117847. The reversal of 688117824 is 428711886.

The square root of 688117824 is 26232.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 678081600 + 10036224 = 26040^2 + 3168^2 .

It is a super-2 number, since 2×688117824² = 947012279412989952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 688117824.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 629022 + ... + 630114.

Almost surely, 2^688117824 is an apocalyptic number.

688117824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

688117824 is the 26232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688117824

688117824 is an abundant number, since it is smaller than the sum of its proper divisors (1286053869).

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

688117824 is an equidigital number, since it uses as much as digits as its factorization.

688117824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 1098 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The cubic root of 688117824 is about 882.8513845461.

The spelling of 688117824 in words is "six hundred eighty-eight million, one hundred seventeen thousand, eight hundred twenty-four".