1830825216 has 432 divisors, whose sum is σ = 6198716160. Its totient is φ = 514375680.

The previous prime is 1830825197. The next prime is 1830825257. The reversal of 1830825216 is 6125280381.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34543846 + ... + 34543898.

It is an arithmetic number, because the mean of its divisors is an integer number (14348880).

Almost surely, 2^1830825216 is an apocalyptic number.

1830825216 is a gapful number since it is divisible by the number (16) 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 1830825216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099358080).

1830825216 is an abundant number, since it is smaller than the sum of its proper divisors (4367890944).

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

1830825216 is a wasteful number, since it uses less digits than its factorization.

1830825216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1830825216 is about 42788.1434044526. The cubic root of 1830825216 is about 1223.3450295656.

The spelling of 1830825216 in words is "one billion, eight hundred thirty million, eight hundred twenty-five thousand, two hundred sixteen".