1683820800 has 648 divisors, whose sum is σ = 6642574848. Its totient is φ = 405504000.

The previous prime is 1683820799. The next prime is 1683820813. The reversal of 1683820800 is 80283861.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41068780 + ... + 41068820.

Almost surely, 2^1683820800 is an apocalyptic number.

1683820800 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 1683820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3321287424).

1683820800 is an abundant number, since it is smaller than the sum of its proper divisors (4958754048).

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

1683820800 is a wasteful number, since it uses less digits than its factorization.

1683820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1683820800 is about 41034.3855808759. The cubic root of 1683820800 is about 1189.6849199958.

The spelling of 1683820800 in words is "one billion, six hundred eighty-three million, eight hundred twenty thousand, eight hundred".