688165632 has 360 divisors, whose sum is σ = 2564255232. Its totient is φ = 178329600.

The previous prime is 688165631. The next prime is 688165633. The reversal of 688165632 is 236561886.

688165632 is a `hidden beast` number, since 6 + 8 + 8 + 1 + 6 + 5 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (688165631) and next prime (688165633).

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

It is not an unprimeable number, because it can be changed into a prime (688165631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1596457 + ... + 1596887.

Almost surely, 2^688165632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688165632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1282127616).

688165632 is an abundant number, since it is smaller than the sum of its proper divisors (1876089600).

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

688165632 is a wasteful number, since it uses less digits than its factorization.

688165632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 454 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 688165632 is about 26232.9112376038. The cubic root of 688165632 is about 882.8718298730.

The spelling of 688165632 in words is "six hundred eighty-eight million, one hundred sixty-five thousand, six hundred thirty-two".