1829120 has 36 divisors (see below), whose sum is σ = 4384380. Its totient is φ = 731136.

The previous prime is 1829119. The next prime is 1829137. The reversal of 1829120 is 219281.

It can be written as a sum of positive squares in 2 ways, for example, as 350464 + 1478656 = 592^2 + 1216^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 566 + ... + 1994.

2^1829120 is an apocalyptic number.

1829120 is a gapful number since it is divisible by the number (10) 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 1829120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192190).

1829120 is an abundant number, since it is smaller than the sum of its proper divisors (2555260).

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

1829120 is an equidigital number, since it uses as much as digits as its factorization.

1829120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 23.

The square root of 1829120 is about 1352.4496293763. The cubic root of 1829120 is about 122.2965106989.

The spelling of 1829120 in words is "one million, eight hundred twenty-nine thousand, one hundred twenty".