1829268 has 108 divisors (see below), whose sum is σ = 5788692. Its totient is φ = 483840.

The previous prime is 1829257. The next prime is 1829281. The reversal of 1829268 is 8629281.

It can be written as a sum of positive squares in 2 ways, for example, as 636804 + 1192464 = 798^2 + 1092^2 .

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29958 + ... + 30018.

It is an arithmetic number, because the mean of its divisors is an integer number (53599).

2^1829268 is an apocalyptic number.

1829268 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 1829268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894346).

1829268 is an abundant number, since it is smaller than the sum of its proper divisors (3959424).

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

1829268 is a wasteful number, since it uses less digits than its factorization.

1829268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 90 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 1829268 is about 1352.5043438008. The cubic root of 1829268 is about 122.2998090783.

The spelling of 1829268 in words is "one million, eight hundred twenty-nine thousand, two hundred sixty-eight".