1838100 has 72 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 444800.

The previous prime is 1838087. The next prime is 1838101. The reversal of 1838100 is 18381.

It is a happy number.

It is a super-2 number, since 2×1838100² = 6757223220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1838101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3022 + ... + 3578.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

2^1838100 is an apocalyptic number.

1838100 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 1838100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

1838100 is an abundant number, since it is smaller than the sum of its proper divisors (3974028).

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

1838100 is a wasteful number, since it uses less digits than its factorization.

1838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1838100 is about 1355.7654664432. The cubic root of 1838100 is about 122.4963208669.

Multiplying 1838100 by its reverse (18381), we get a square (33786116100 = 183810²).

1838100 divided by its reverse (18381) gives a square (100 = 10²).

The spelling of 1838100 in words is "one million, eight hundred thirty-eight thousand, one hundred".