688137729 has 16 divisors (see below), whose sum is σ = 964235712. Its totient is φ = 435976128.

The previous prime is 688137719. The next prime is 688137731. The reversal of 688137729 is 927731886.

It is not a de Polignac number, because 688137729 - 2¹⁶ = 688072193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (688137719) 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, 67314 + ... + 76859.

It is an arithmetic number, because the mean of its divisors is an integer number (60264732).

Almost surely, 2^688137729 is an apocalyptic number.

It is an amenable number.

688137729 is a deficient number, since it is larger than the sum of its proper divisors (276097983).

688137729 is a wasteful number, since it uses less digits than its factorization.

688137729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144256.

The product of its digits is 1016064, while the sum is 51.

The square root of 688137729 is about 26232.3794002755. The cubic root of 688137729 is about 882.8598971325.

The spelling of 688137729 in words is "six hundred eighty-eight million, one hundred thirty-seven thousand, seven hundred twenty-nine".