1683681520 has 40 divisors (see below), whose sum is σ = 3918990240. Its totient is φ = 672710400.

The previous prime is 1683681457. The next prime is 1683681529. The reversal of 1683681520 is 251863861.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683681529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62070 + ... + 84970.

It is an arithmetic number, because the mean of its divisors is an integer number (97974756).

Almost surely, 2^1683681520 is an apocalyptic number.

1683681520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1683681520 is an abundant number, since it is smaller than the sum of its proper divisors (2235308720).

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

1683681520 is a wasteful number, since it uses less digits than its factorization.

1683681520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23833 (or 23827 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 1683681520 is about 41032.6884325168. The cubic root of 1683681520 is about 1189.6521168446.

The spelling of 1683681520 in words is "one billion, six hundred eighty-three million, six hundred eighty-one thousand, five hundred twenty".