688987272 has 96 divisors (see below), whose sum is σ = 1830811680. Its totient is φ = 216034560.

The previous prime is 688987207. The next prime is 688987297. The reversal of 688987272 is 272789886.

It is a Harshad number since it is a multiple of its sum of digits (57).

Its product of digits (5419008) is a multiple of the sum of its prime divisors (588).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2434443 + ... + 2434725.

It is an arithmetic number, because the mean of its divisors is an integer number (19070955).

Almost surely, 2^688987272 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 688987272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915405840).

688987272 is an abundant number, since it is smaller than the sum of its proper divisors (1141824408).

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

688987272 is a wasteful number, since it uses less digits than its factorization.

688987272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 588 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 57.

The square root of 688987272 is about 26248.5670466028. The cubic root of 688987272 is about 883.2230603849.

The spelling of 688987272 in words is "six hundred eighty-eight million, nine hundred eighty-seven thousand, two hundred seventy-two".