1683880224 has 96 divisors (see below), whose sum is σ = 4785548544. Its totient is φ = 515358720.

The previous prime is 1683880223. The next prime is 1683880241. The reversal of 1683880224 is 4220883861.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1683880223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 237369 + ... + 244359.

It is an arithmetic number, because the mean of its divisors is an integer number (49849464).

Almost surely, 2^1683880224 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 1683880224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392774272).

1683880224 is an abundant number, since it is smaller than the sum of its proper divisors (3101668320).

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

1683880224 is a wasteful number, since it uses less digits than its factorization.

1683880224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7210 (or 7202 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1683880224 is about 41035.1096501520. The cubic root of 1683880224 is about 1189.6989149540.

The spelling of 1683880224 in words is "one billion, six hundred eighty-three million, eight hundred eighty thousand, two hundred twenty-four".