688124160 has 180 divisors, whose sum is σ = 2462605068. Its totient is φ = 183472128.

The previous prime is 688124153. The next prime is 688124183. The reversal of 688124160 is 61421886.

It can be written as a sum of positive squares in 2 ways, for example, as 95883264 + 592240896 = 9792^2 + 24336^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 19 ways as a sum of consecutive naturals, for example, 100362 + ... + 106998.

Almost surely, 2^688124160 is an apocalyptic number.

688124160 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 688124160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1231302534).

688124160 is an abundant number, since it is smaller than the sum of its proper divisors (1774480908).

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

688124160 is an equidigital number, since it uses as much as digits as its factorization.

688124160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6670 (or 6647 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 688124160 is about 26232.1207682490. The cubic root of 688124160 is about 882.8540942221.

The spelling of 688124160 in words is "six hundred eighty-eight million, one hundred twenty-four thousand, one hundred sixty".