688149 has 32 divisors (see below), whose sum is σ = 1274880. Its totient is φ = 356400.

The previous prime is 688147. The next prime is 688159. The reversal of 688149 is 941886.

It is a happy number.

688149 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 688149 - 2¹ = 688147 is a prime.

688149 is a lucky number.

It is a zygodrome in base 4.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1914 + ... + 2244.

It is an arithmetic number, because the mean of its divisors is an integer number (39840).

2⁶⁸⁸¹⁴⁹ is an apocalyptic number.

It is an amenable number.

688149 is a deficient number, since it is larger than the sum of its proper divisors (586731).

688149 is a wasteful number, since it uses less digits than its factorization.

688149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 688149 is about 829.5474669963. The cubic root of 688149 is about 88.2864717224.

The spelling of 688149 in words is "six hundred eighty-eight thousand, one hundred forty-nine".