683681664 has 64 divisors (see below), whose sum is σ = 1830026880. Its totient is φ = 226137600.

The previous prime is 683681659. The next prime is 683681689. The reversal of 683681664 is 466186386.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43509 + ... + 57099.

It is an arithmetic number, because the mean of its divisors is an integer number (28594170).

Almost surely, 2^683681664 is an apocalyptic number.

683681664 is a gapful number since it is divisible by the number (64) 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 683681664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915013440).

683681664 is an abundant number, since it is smaller than the sum of its proper divisors (1146345216).

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

683681664 is a wasteful number, since it uses less digits than its factorization.

683681664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13739 (or 13727 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 683681664 is about 26147.3070123866. The cubic root of 683681664 is about 880.9501033162.

The spelling of 683681664 in words is "six hundred eighty-three million, six hundred eighty-one thousand, six hundred sixty-four".