1688968800 has 144 divisors (see below), whose sum is σ = 6108515280. Its totient is φ = 450385920.

The previous prime is 1688968781. The next prime is 1688968817. The reversal of 1688968800 is 88698861.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17497 + ... + 60696.

It is an arithmetic number, because the mean of its divisors is an integer number (42420245).

Almost surely, 2^1688968800 is an apocalyptic number.

1688968800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688968800 is an abundant number, since it is smaller than the sum of its proper divisors (4419546480).

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

1688968800 is a wasteful number, since it uses less digits than its factorization.

1688968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78222 (or 78203 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 1688968800 is about 41097.0655886768. The cubic root of 1688968800 is about 1190.8961072761.

The spelling of 1688968800 in words is "one billion, six hundred eighty-eight million, nine hundred sixty-eight thousand, eight hundred".