1682056800 has 288 divisors, whose sum is σ = 6228351360. Its totient is φ = 437875200.

The previous prime is 1682056793. The next prime is 1682056801. The reversal of 1682056800 is 86502861.

It is a happy number.

1682056800 is a `hidden beast` number, since 16 + 82 + 0 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682056801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 927895 + ... + 929705.

It is an arithmetic number, because the mean of its divisors is an integer number (21626220).

Almost surely, 2^1682056800 is an apocalyptic number.

1682056800 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 1682056800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114175680).

1682056800 is an abundant number, since it is smaller than the sum of its proper divisors (4546294560).

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

1682056800 is a wasteful number, since it uses less digits than its factorization.

1682056800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1682056800 is about 41012.8857799594. The cubic root of 1682056800 is about 1189.2693299539.

The spelling of 1682056800 in words is "one billion, six hundred eighty-two million, fifty-six thousand, eight hundred".