683349120 has 384 divisors, whose sum is σ = 2520460800. Its totient is φ = 170311680.

The previous prime is 683349109. The next prime is 683349143. The reversal of 683349120 is 21943386.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 7678036 + ... + 7678124.

It is an arithmetic number, because the mean of its divisors is an integer number (6563700).

Almost surely, 2^683349120 is an apocalyptic number.

683349120 is a gapful number since it is divisible by the number (60) 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 683349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260230400).

683349120 is an abundant number, since it is smaller than the sum of its proper divisors (1837111680).

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

683349120 is a wasteful number, since it uses less digits than its factorization.

683349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 683349120 is about 26140.9471901842. The cubic root of 683349120 is about 880.8072482432.

The spelling of 683349120 in words is "six hundred eighty-three million, three hundred forty-nine thousand, one hundred twenty".