1688388900 has 72 divisors (see below), whose sum is σ = 5329179744. Its totient is φ = 409305600.

The previous prime is 1688388893. The next prime is 1688388901. The reversal of 1688388900 is 98838861.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1688388901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252517 + ... + 259116.

Almost surely, 2^1688388900 is an apocalyptic number.

1688388900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1688388900 is an abundant number, since it is smaller than the sum of its proper divisors (3640790844).

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

1688388900 is a wasteful number, since it uses less digits than its factorization.

1688388900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511661 (or 511654 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 51.

The square root of 1688388900 is about 41090.0097347275. The cubic root of 1688388900 is about 1190.7597953628.

The spelling of 1688388900 in words is "one billion, six hundred eighty-eight million, three hundred eighty-eight thousand, nine hundred".