1688948400 has 120 divisors (see below), whose sum is σ = 5596940880. Its totient is φ = 434846720.

The previous prime is 1688948389. The next prime is 1688948423. The reversal of 1688948400 is 48498861.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1688948400.

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, 10534 + ... + 59066.

It is an arithmetic number, because the mean of its divisors is an integer number (46641174).

Almost surely, 2^1688948400 is an apocalyptic number.

1688948400 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 1688948400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798470440).

1688948400 is an abundant number, since it is smaller than the sum of its proper divisors (3907992480).

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

1688948400 is a wasteful number, since it uses less digits than its factorization.

1688948400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48583 (or 48572 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 1688948400 is about 41096.8173950246. The cubic root of 1688948400 is about 1190.8913125598.

The spelling of 1688948400 in words is "one billion, six hundred eighty-eight million, nine hundred forty-eight thousand, four hundred".