688825632 has 192 divisors, whose sum is σ = 2072770560. Its totient is φ = 198374400.

The previous prime is 688825619. The next prime is 688825663. The reversal of 688825632 is 236528886.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2541657 + ... + 2541927.

It is an arithmetic number, because the mean of its divisors is an integer number (10795680).

Almost surely, 2^688825632 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 688825632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280).

688825632 is an abundant number, since it is smaller than the sum of its proper divisors (1383944928).

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

688825632 is a wasteful number, since it uses less digits than its factorization.

688825632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 399 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 48.

The square root of 688825632 is about 26245.4878407699. The cubic root of 688825632 is about 883.1539854072.

The spelling of 688825632 in words is "six hundred eighty-eight million, eight hundred twenty-five thousand, six hundred thirty-two".