1683225600 has 528 divisors, whose sum is σ = 6627956736. Its totient is φ = 368640000.

The previous prime is 1683225559. The next prime is 1683225671. The reversal of 1683225600 is 65223861.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16665550 + ... + 16665650.

Almost surely, 2^1683225600 is an apocalyptic number.

1683225600 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 1683225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3313978368).

1683225600 is an abundant number, since it is smaller than the sum of its proper divisors (4944731136).

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

1683225600 is a wasteful number, since it uses less digits than its factorization.

1683225600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 1683225600 is about 41027.1324857100. The cubic root of 1683225600 is about 1189.5447261552.

The spelling of 1683225600 in words is "one billion, six hundred eighty-three million, two hundred twenty-five thousand, six hundred".