1830528 has 96 divisors (see below), whose sum is σ = 6046560. Its totient is φ = 520704.

The previous prime is 1830523. The next prime is 1830533. The reversal of 1830528 is 8250381.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1830523) and next prime (1830533).

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

It is not an unprimeable number, because it can be changed into a prime (1830523) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 7951 + ... + 8177.

It is an arithmetic number, because the mean of its divisors is an integer number (62985).

2^1830528 is an apocalyptic number.

1830528 is a gapful number since it is divisible by the number (18) 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 1830528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023280).

1830528 is an abundant number, since it is smaller than the sum of its proper divisors (4216032).

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

1830528 is a wasteful number, since it uses less digits than its factorization.

1830528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1830528 is about 1352.9700661877. The cubic root of 1830528 is about 122.3278826743.

The spelling of 1830528 in words is "one million, eight hundred thirty thousand, five hundred twenty-eight".