1826105904 has 160 divisors (see below), whose sum is σ = 6080483840. Its totient is φ = 513900288.

The previous prime is 1826105863. The next prime is 1826105917. The reversal of 1826105904 is 4095016281.

1826105904 is a `hidden beast` number, since 1 + 8 + 2 + 61 + 0 + 590 + 4 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 198102 + ... + 207114.

It is an arithmetic number, because the mean of its divisors is an integer number (38003024).

Almost surely, 2^1826105904 is an apocalyptic number.

1826105904 is a gapful number since it is divisible by the number (14) 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 1826105904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3040241920).

1826105904 is an abundant number, since it is smaller than the sum of its proper divisors (4254377936).

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

1826105904 is a wasteful number, since it uses less digits than its factorization.

1826105904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9092 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 1826105904 is about 42732.9603935885. The cubic root of 1826105904 is about 1222.2929876431.

The spelling of 1826105904 in words is "one billion, eight hundred twenty-six million, one hundred five thousand, nine hundred four".