688880160 has 96 divisors (see below), whose sum is σ = 2411095680. Its totient is φ = 183700224.

The previous prime is 688880119. The next prime is 688880173. The reversal of 688880160 is 61088886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 15 ways as a sum of consecutive naturals, for example, 75412 + ... + 84051.

It is an arithmetic number, because the mean of its divisors is an integer number (25115580).

Almost surely, 2^688880160 is an apocalyptic number.

688880160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

688880160 is an abundant number, since it is smaller than the sum of its proper divisors (1722215520).

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

688880160 is a wasteful number, since it uses less digits than its factorization.

688880160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159487 (or 159473 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 688880160 is about 26246.5266273463. The cubic root of 688880160 is about 883.1772885228.

The spelling of 688880160 in words is "six hundred eighty-eight million, eight hundred eighty thousand, one hundred sixty".