688896160 has 48 divisors (see below), whose sum is σ = 1683649800. Its totient is φ = 266054656.

The previous prime is 688896127. The next prime is 688896179. The reversal of 688896160 is 61698886.

688896160 = 321² + 322² + ... + 1280².

It can be written as a sum of positive squares in 4 ways, for example, as 494795536 + 194100624 = 22244^2 + 13932^2 .

It is a junction number, because it is equal to n+sod(n) for n = 688896098 and 688896107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69595 + ... + 78874.

Almost surely, 2^688896160 is an apocalyptic number.

It is an amenable number.

688896160 is an abundant number, since it is smaller than the sum of its proper divisors (994753640).

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

688896160 is a wasteful number, since it uses less digits than its factorization.

688896160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148513 (or 148505 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 688896160 is about 26246.8314278124. The cubic root of 688896160 is about 883.1841260581.

The spelling of 688896160 in words is "six hundred eighty-eight million, eight hundred ninety-six thousand, one hundred sixty".