688722633 has 12 divisors (see below), whose sum is σ = 1019086068. Its totient is φ = 447949440.

The previous prime is 688722613. The next prime is 688722637. The reversal of 688722633 is 336227886.

688722633 is a `hidden beast` number, since 6 + 8 + 8 + 7 + 2 + 2 + 633 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 311275449 + 377447184 = 17643^2 + 19428^2 .

It is not a de Polignac number, because 688722633 - 2⁶ = 688722569 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (688722637) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 932860 + ... + 933597.

It is an arithmetic number, because the mean of its divisors is an integer number (84923839).

Almost surely, 2^688722633 is an apocalyptic number.

It is an amenable number.

688722633 is a deficient number, since it is larger than the sum of its proper divisors (330363435).

688722633 is a wasteful number, since it uses less digits than its factorization.

688722633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866504 (or 1866501 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 688722633 is about 26243.5255444081. The cubic root of 688722633 is about 883.1099643433.

The spelling of 688722633 in words is "six hundred eighty-eight million, seven hundred twenty-two thousand, six hundred thirty-three".