1829800 has 48 divisors (see below), whose sum is σ = 4865760. Its totient is φ = 626880.

The previous prime is 1829797. The next prime is 1829801. The reversal of 1829800 is 89281.

1829800 = T₄₈ + T₄₉ + ... + T₂₂₂.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1829801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 747 + ... + 2053.

It is an arithmetic number, because the mean of its divisors is an integer number (101370).

2^1829800 is an apocalyptic number.

1829800 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 1829800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2432880).

1829800 is an abundant number, since it is smaller than the sum of its proper divisors (3035960).

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

1829800 is a wasteful number, since it uses less digits than its factorization.

1829800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 1829800 is about 1352.7010016999. The cubic root of 1829800 is about 122.3116639463.

The spelling of 1829800 in words is "one million, eight hundred twenty-nine thousand, eight hundred".