1683648000 has 480 divisors, whose sum is σ = 6306917760. Its totient is φ = 431308800.

The previous prime is 1683647957. The next prime is 1683648049. The reversal of 1683648000 is 8463861.

It is a happy number.

1683648000 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 648 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 21311961 + ... + 21312039.

It is an arithmetic number, because the mean of its divisors is an integer number (13139412).

Almost surely, 2^1683648000 is an apocalyptic number.

1683648000 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 1683648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3153458880).

1683648000 is an abundant number, since it is smaller than the sum of its proper divisors (4623269760).

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

1683648000 is an equidigital number, since it uses as much as digits as its factorization.

1683648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1683648000 is about 41032.2799756484. The cubic root of 1683648000 is about 1189.6442219621.

The spelling of 1683648000 in words is "one billion, six hundred eighty-three million, six hundred forty-eight thousand".