1826838 has 48 divisors (see below), whose sum is σ = 4398576. Its totient is φ = 544320.

The previous prime is 1826819. The next prime is 1826849. The reversal of 1826838 is 8386281.

1826838 = 247² + 248² + ... + 273².

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, 8553 + ... + 8763.

It is an arithmetic number, because the mean of its divisors is an integer number (91637).

2^1826838 is an apocalyptic number.

1826838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1826838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199288).

1826838 is an abundant number, since it is smaller than the sum of its proper divisors (2571738).

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

1826838 is a wasteful number, since it uses less digits than its factorization.

1826838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 266 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 1826838 is about 1351.6057117370. The cubic root of 1826838 is about 122.2456307169.

The spelling of 1826838 in words is "one million, eight hundred twenty-six thousand, eight hundred thirty-eight".