1683886464 has 192 divisors, whose sum is σ = 5251755600. Its totient is φ = 514805760.

The previous prime is 1683886453. The next prime is 1683886483. The reversal of 1683886464 is 4646883861.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1683886464.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3429259 + ... + 3429749.

Almost surely, 2^1683886464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625877800).

1683886464 is an abundant number, since it is smaller than the sum of its proper divisors (3567869136).

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

1683886464 is a wasteful number, since it uses less digits than its factorization.

1683886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 738 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The square root of 1683886464 is about 41035.1856825335. The cubic root of 1683886464 is about 1189.7003845185.

The spelling of 1683886464 in words is "one billion, six hundred eighty-three million, eight hundred eighty-six thousand, four hundred sixty-four".