688955904 has 480 divisors, whose sum is σ = 2573835264. Its totient is φ = 172523520.

The previous prime is 688955867. The next prime is 688955959. The reversal of 688955904 is 409559886.

It is a happy number.

688955904 is a `hidden beast` number, since 6 + 8 + 89 + 559 + 0 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12999142 + ... + 12999194.

Almost surely, 2^688955904 is an apocalyptic number.

688955904 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 688955904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286917632).

688955904 is an abundant number, since it is smaller than the sum of its proper divisors (1884879360).

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

688955904 is a wasteful number, since it uses less digits than its factorization.

688955904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 688955904 is about 26247.9695214697. The cubic root of 688955904 is about 883.2096564792.

The spelling of 688955904 in words is "six hundred eighty-eight million, nine hundred fifty-five thousand, nine hundred four".