1683366720 has 112 divisors (see below), whose sum is σ = 6108240768. Its totient is φ = 384768000.

The previous prime is 1683366719. The next prime is 1683366721. The reversal of 1683366720 is 276633861.

It is an interprime number because it is at equal distance from previous prime (1683366719) and next prime (1683366721).

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683366721) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118531 + ... + 131970.

It is an arithmetic number, because the mean of its divisors is an integer number (54537864).

Almost surely, 2^1683366720 is an apocalyptic number.

1683366720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683366720 is an abundant number, since it is smaller than the sum of its proper divisors (4424874048).

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

1683366720 is a wasteful number, since it uses less digits than its factorization.

1683366720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250528 (or 250518 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 1683366720 is about 41028.8522871406. The cubic root of 1683366720 is about 1189.5779686512.

The spelling of 1683366720 in words is "one billion, six hundred eighty-three million, three hundred sixty-six thousand, seven hundred twenty".