688126140 has 144 divisors (see below), whose sum is σ = 2256508800. Its totient is φ = 168735744.

The previous prime is 688126129. The next prime is 688126141. The reversal of 688126140 is 41621886.

688126140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 688126095 and 688126104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688126141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 956701 + ... + 957419.

It is an arithmetic number, because the mean of its divisors is an integer number (15670200).

Almost surely, 2^688126140 is an apocalyptic number.

688126140 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 688126140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128254400).

688126140 is an abundant number, since it is smaller than the sum of its proper divisors (1568382660).

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

688126140 is a wasteful number, since it uses less digits than its factorization.

688126140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1151 counting only the distinct ones).

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

The square root of 688126140 is about 26232.1585082128. The cubic root of 688126140 is about 882.8549409925.

The spelling of 688126140 in words is "six hundred eighty-eight million, one hundred twenty-six thousand, one hundred forty".