688116132 has 36 divisors (see below), whose sum is σ = 1897533456. Its totient is φ = 208519920.

The previous prime is 688116127. The next prime is 688116151. The reversal of 688116132 is 231611886.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×688116132³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868438 + ... + 869229.

Almost surely, 2^688116132 is an apocalyptic number.

It is an amenable number.

688116132 is an abundant number, since it is smaller than the sum of its proper divisors (1209417324).

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

688116132 is a wasteful number, since it uses less digits than its factorization.

688116132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737688 (or 1737683 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 688116132 is about 26231.9677492940. The cubic root of 688116132 is about 882.8506609366.

The spelling of 688116132 in words is "six hundred eighty-eight million, one hundred sixteen thousand, one hundred thirty-two".