1683580896 has 96 divisors (see below), whose sum is σ = 4977897120. Its totient is φ = 553485312.

The previous prime is 1683580889. The next prime is 1683580901. The reversal of 1683580896 is 6980853861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49726 + ... + 76418.

It is an arithmetic number, because the mean of its divisors is an integer number (51853095).

Almost surely, 2^1683580896 is an apocalyptic number.

1683580896 is a gapful number since it is divisible by the number (16) 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 1683580896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2488948560).

1683580896 is an abundant number, since it is smaller than the sum of its proper divisors (3294316224).

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

1683580896 is a wasteful number, since it uses less digits than its factorization.

1683580896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26785 (or 26771 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 1683580896 is about 41031.4622698241. The cubic root of 1683580896 is about 1189.6284168083.

The spelling of 1683580896 in words is "one billion, six hundred eighty-three million, five hundred eighty thousand, eight hundred ninety-six".