688142 has 32 divisors (see below), whose sum is σ = 1344000. Its totient is φ = 256608.

The previous prime is 688139. The next prime is 688147. The reversal of 688142 is 241886.

688142 is nontrivially palindromic in base 12.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 688142.

It is not an unprimeable number, because it can be changed into a prime (688147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3359 + ... + 3557.

It is an arithmetic number, because the mean of its divisors is an integer number (42000).

2⁶⁸⁸¹⁴² is an apocalyptic number.

688142 is a deficient number, since it is larger than the sum of its proper divisors (655858).

688142 is a wasteful number, since it uses less digits than its factorization.

688142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240.

The product of its digits is 3072, while the sum is 29.

The square root of 688142 is about 829.5432478177. The cubic root of 688142 is about 88.2861723650.

The spelling of 688142 in words is "six hundred eighty-eight thousand, one hundred forty-two".