1683168400 has 60 divisors (see below), whose sum is σ = 4065168384. Its totient is φ = 669712000.

The previous prime is 1683168349. The next prime is 1683168427. The reversal of 1683168400 is 48613861.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1683168400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65385 + ... + 87415.

Almost surely, 2^1683168400 is an apocalyptic number.

1683168400 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 1683168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032584192).

1683168400 is an abundant number, since it is smaller than the sum of its proper divisors (2381999984).

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

1683168400 is a wasteful number, since it uses less digits than its factorization.

1683168400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22240 (or 22229 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 1683168400 is about 41026.4353801302. The cubic root of 1683168400 is about 1189.5312514851.

The spelling of 1683168400 in words is "one billion, six hundred eighty-three million, one hundred sixty-eight thousand, four hundred".