688164660 has 240 divisors, whose sum is σ = 2271532032. Its totient is φ = 174182400.

The previous prime is 688164637. The next prime is 688164679. The reversal of 688164660 is 66461886.

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 79 ways as a sum of consecutive naturals, for example, 3565524 + ... + 3565716.

Almost surely, 2^688164660 is an apocalyptic number.

688164660 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 688164660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135766016).

688164660 is an abundant number, since it is smaller than the sum of its proper divisors (1583367372).

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

688164660 is a wasteful number, since it uses less digits than its factorization.

688164660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 688164660 is about 26232.8927112509. The cubic root of 688164660 is about 882.8714142018.

The spelling of 688164660 in words is "six hundred eighty-eight million, one hundred sixty-four thousand, six hundred sixty".