688868136 has 96 divisors (see below), whose sum is σ = 2073820320. Its totient is φ = 204796800.

The previous prime is 688868113. The next prime is 688868207. The reversal of 688868136 is 631868886.

It is a super-2 number, since 2×688868136² = 949078617592228992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 33771 + ... + 50181.

It is an arithmetic number, because the mean of its divisors is an integer number (21602295).

Almost surely, 2^688868136 is an apocalyptic number.

688868136 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688868136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036910160).

688868136 is an abundant number, since it is smaller than the sum of its proper divisors (1384952184).

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

688868136 is a wasteful number, since it uses less digits than its factorization.

688868136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16487 (or 16480 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 688868136 is about 26246.2975674665. The cubic root of 688868136 is about 883.1721500453.

The spelling of 688868136 in words is "six hundred eighty-eight million, eight hundred sixty-eight thousand, one hundred thirty-six".