688973040 has 480 divisors, whose sum is σ = 2820819456. Its totient is φ = 153031680.

The previous prime is 688972997. The next prime is 688973063. The reversal of 688973040 is 40379886.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8300839 + ... + 8300921.

Almost surely, 2^688973040 is an apocalyptic number.

688973040 is a gapful number since it is divisible by the number (60) 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 688973040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410409728).

688973040 is an abundant number, since it is smaller than the sum of its proper divisors (2131846416).

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

688973040 is a wasteful number, since it uses less digits than its factorization.

688973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 688973040 is about 26248.2959446894. The cubic root of 688973040 is about 883.2169789387.

The spelling of 688973040 in words is "six hundred eighty-eight million, nine hundred seventy-three thousand, forty".