1830684672 has 96 divisors (see below), whose sum is σ = 5423090400. Its totient is φ = 610209792.

The previous prime is 1830684641. The next prime is 1830684677. The reversal of 1830684672 is 2764860381.

1830684672 is a `hidden beast` number, since 183 + 0 + 6 + 8 + 467 + 2 = 666.

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

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1830684677) 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, 38743 + ... + 71849.

It is an arithmetic number, because the mean of its divisors is an integer number (56490525).

Almost surely, 2^1830684672 is an apocalyptic number.

1830684672 is a gapful number since it is divisible by the number (12) 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 1830684672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711545200).

1830684672 is an abundant number, since it is smaller than the sum of its proper divisors (3592405728).

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

1830684672 is an equidigital number, since it uses as much as digits as its factorization.

1830684672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33138 (or 33112 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 1830684672 is about 42786.5010488121. The cubic root of 1830684672 is about 1223.3137252477.

The spelling of 1830684672 in words is "one billion, eight hundred thirty million, six hundred eighty-four thousand, six hundred seventy-two".