1826100 has 54 divisors (see below), whose sum is σ = 5726630. Its totient is φ = 486720.

The previous prime is 1826093. The next prime is 1826107. The reversal of 1826100 is 16281.

It is an interprime number because it is at equal distance from previous prime (1826093) and next prime (1826107).

It can be written as a sum of positive squares in 3 ways, for example, as 580644 + 1245456 = 762^2 + 1116^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1826107) 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 17 ways as a sum of consecutive naturals, for example, 115 + ... + 1914.

2^1826100 is an apocalyptic number.

1826100 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 1826100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2863315).

1826100 is an abundant number, since it is smaller than the sum of its proper divisors (3900530).

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

1826100 is a wasteful number, since it uses less digits than its factorization.

1826100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1826100 is about 1351.3326755466. The cubic root of 1826100 is about 122.2291670373.

The spelling of 1826100 in words is "one million, eight hundred twenty-six thousand, one hundred".