688148 has 12 divisors (see below), whose sum is σ = 1218420. Its totient is φ = 340032.

The previous prime is 688147. The next prime is 688159. The reversal of 688148 is 841886.

It can be written as a sum of positive squares in 2 ways, for example, as 293764 + 394384 = 542^2 + 628^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 611 + ... + 1322.

It is an arithmetic number, because the mean of its divisors is an integer number (101535).

2⁶⁸⁸¹⁴⁸ is an apocalyptic number.

It is an amenable number.

688148 is a deficient number, since it is larger than the sum of its proper divisors (530272).

688148 is a wasteful number, since it uses less digits than its factorization.

688148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2024 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 688148 is about 829.5468642578. The cubic root of 688148 is about 88.2864289571.

The spelling of 688148 in words is "six hundred eighty-eight thousand, one hundred forty-eight".