688541 has 16 divisors (see below), whose sum is σ = 860160. Its totient is φ = 537840.

The previous prime is 688531. The next prime is 688543. The reversal of 688541 is 145886.

It is a cyclic number.

It is not a de Polignac number, because 688541 - 2⁶ = 688477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 688498 and 688507.

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 688541.

It is not an unprimeable number, because it can be changed into a prime (688543) 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, 4040 + ... + 4206.

It is an arithmetic number, because the mean of its divisors is an integer number (53760).

2⁶⁸⁸⁵⁴¹ is an apocalyptic number.

It is an amenable number.

688541 is a deficient number, since it is larger than the sum of its proper divisors (171619).

688541 is a wasteful number, since it uses less digits than its factorization.

688541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224.

The product of its digits is 7680, while the sum is 32.

The square root of 688541 is about 829.7837067574. The cubic root of 688541 is about 88.3032324954.

The spelling of 688541 in words is "six hundred eighty-eight thousand, five hundred forty-one".