120688 has 20 divisors (see below), whose sum is σ = 246760. Its totient is φ = 57024.

The previous prime is 120677. The next prime is 120689. The reversal of 120688 is 886021.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106 + ... + 502.

It is an arithmetic number, because the mean of its divisors is an integer number (12338).

2¹²⁰⁶⁸⁸ 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 120688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123380).

120688 is an abundant number, since it is smaller than the sum of its proper divisors (126072).

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

120688 is a wasteful number, since it uses less digits than its factorization.

120688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

The square root of 120688 is about 347.4017846817. The cubic root of 120688 is about 49.4183260150.

It can be divided in two parts, 120 and 688, that added together give a palindrome (808).

The spelling of 120688 in words is "one hundred twenty thousand, six hundred eighty-eight".