688413 has 16 divisors (see below), whose sum is σ = 1046016. Its totient is φ = 398640.

The previous prime is 688411. The next prime is 688423. The reversal of 688413 is 314886.

It is a happy number.

It is not a de Polignac number, because 688413 - 2¹ = 688411 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688411) 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, 306 + ... + 1212.

It is an arithmetic number, because the mean of its divisors is an integer number (65376).

2⁶⁸⁸⁴¹³ is an apocalyptic number.

It is an amenable number.

688413 is a deficient number, since it is larger than the sum of its proper divisors (357603).

688413 is a wasteful number, since it uses less digits than its factorization.

688413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944.

The product of its digits is 4608, while the sum is 30.

The square root of 688413 is about 829.7065746395. The cubic root of 688413 is about 88.2977602895.

The spelling of 688413 in words is "six hundred eighty-eight thousand, four hundred thirteen".