688126005 has 96 divisors (see below), whose sum is σ = 1395523584. Its totient is φ = 307214208.

The previous prime is 688125989. The next prime is 688126009. The reversal of 688126005 is 500621886.

It is a happy number.

It is not a de Polignac number, because 688126005 - 2⁴ = 688125989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (688126009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4120432 + ... + 4120598.

It is an arithmetic number, because the mean of its divisors is an integer number (14536704).

Almost surely, 2^688126005 is an apocalyptic number.

It is an amenable number.

688126005 is an abundant number, since it is smaller than the sum of its proper divisors (707397579).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

688126005 is a wasteful number, since it uses less digits than its factorization.

688126005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 688126005 is about 26232.1559350352. The cubic root of 688126005 is about 882.8548832582.

The spelling of 688126005 in words is "six hundred eighty-eight million, one hundred twenty-six thousand, five".