688680153 has 18 divisors (see below), whose sum is σ = 1157170794. Its totient is φ = 393531264.

The previous prime is 688680151. The next prime is 688680169. The reversal of 688680153 is 351086886.

It can be written as a sum of positive squares in only one way, i.e., 627652809 + 61027344 = 25053^2 + 7812^2 .

It is not a de Polignac number, because 688680153 - 2¹ = 688680151 is a prime.

It is a super-2 number, since 2×688680153² = 948560706272206818, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 688680099 and 688680108.

It is not an unprimeable number, because it can be changed into a prime (688680151) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 780376 + ... + 781257.

Almost surely, 2^688680153 is an apocalyptic number.

688680153 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

688680153 is a deficient number, since it is larger than the sum of its proper divisors (468490641).

688680153 is a wasteful number, since it uses less digits than its factorization.

688680153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1561653 (or 1561643 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 688680153 is about 26242.7161894496. The cubic root of 688680153 is about 883.0918074052.

The spelling of 688680153 in words is "six hundred eighty-eight million, six hundred eighty thousand, one hundred fifty-three".