1829090844 has 72 divisors (see below), whose sum is σ = 5383778400. Its totient is φ = 512733312.

The previous prime is 1829090839. The next prime is 1829090881. The reversal of 1829090844 is 4480909281.

It is a self number, because there is not a number n which added to its sum of digits gives 1829090844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55119 + ... + 81830.

It is an arithmetic number, because the mean of its divisors is an integer number (74774700).

Almost surely, 2^1829090844 is an apocalyptic number.

1829090844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1829090844 is an abundant number, since it is smaller than the sum of its proper divisors (3554687556).

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

1829090844 is a wasteful number, since it uses less digits than its factorization.

1829090844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137019 (or 137014 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1829090844 is about 42767.8716328040. The cubic root of 1829090844 is about 1222.9586089713.

The spelling of 1829090844 in words is "one billion, eight hundred twenty-nine million, ninety thousand, eight hundred forty-four".