1809136 has 40 divisors (see below), whose sum is σ = 4151520. Its totient is φ = 747264.

The previous prime is 1809133. The next prime is 1809149. The reversal of 1809136 is 6319081.

1809136 = 99² + 100² + ... + 185².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1809133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2970 + ... + 3526.

It is an arithmetic number, because the mean of its divisors is an integer number (103788).

2^1809136 is an apocalyptic number.

1809136 is a gapful number since it is divisible by the number (16) 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 1809136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2075760).

1809136 is an abundant number, since it is smaller than the sum of its proper divisors (2342384).

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

1809136 is a wasteful number, since it uses less digits than its factorization.

1809136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1809136 is about 1345.0412633076. The cubic root of 1809136 is about 121.8494963948.

It can be divided in two parts, 180 and 9136, that added together give a triangular number (9316 = T₁₃₆).

The spelling of 1809136 in words is "one million, eight hundred nine thousand, one hundred thirty-six".