1688799400 has 96 divisors (see below), whose sum is σ = 4069025280. Its totient is φ = 651168000.

The previous prime is 1688799373. The next prime is 1688799451. The reversal of 1688799400 is 49978861.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2609877 + ... + 2610523.

It is an arithmetic number, because the mean of its divisors is an integer number (42385680).

Almost surely, 2^1688799400 is an apocalyptic number.

1688799400 is a gapful number since it is divisible by the number (10) 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 1688799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034512640).

1688799400 is an abundant number, since it is smaller than the sum of its proper divisors (2380225880).

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

1688799400 is a wasteful number, since it uses less digits than its factorization.

1688799400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The square root of 1688799400 is about 41095.0045625986. The cubic root of 1688799400 is about 1190.8562911576.

The spelling of 1688799400 in words is "one billion, six hundred eighty-eight million, seven hundred ninety-nine thousand, four hundred".