1808100 has 162 divisors, whose sum is σ = 6753474. Its totient is φ = 403200.

The previous prime is 1808089. The next prime is 1808117. The reversal of 1808100 is 18081.

1808100 = T₁₄₁ + T₁₄₂ + ... + T₂₃₈.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1764 + 1806336 = 42^2 + 1344^2 .

It is a super-2 number, since 2×1808100² = 6538451220000, which contains 22 as substring.

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

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 53 ways as a sum of consecutive naturals, for example, 44080 + ... + 44120.

2^1808100 is an apocalyptic number.

1808100 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 1808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3376737).

1808100 is an abundant number, since it is smaller than the sum of its proper divisors (4945374).

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

1808100 is a wasteful number, since it uses less digits than its factorization.

1808100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1808100 is about 1344.6560898609. The cubic root of 1808100 is about 121.8262329544.

Multiplying 1808100 by its reverse (18081), we get a square (32692256100 = 180810²).

1808100 divided by its reverse (18081) gives a square (100 = 10²).

The spelling of 1808100 in words is "one million, eight hundred eight thousand, one hundred".