1813560 has 128 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 387072.

The previous prime is 1813547. The next prime is 1813561. The reversal of 1813560 is 653181.

1813560 = T₇₁ + T₇₂ + ... + T₂₂₃.

1813560 is a nontrivial binomial coefficient, being equal to C(1905, 2).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1813560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1813561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14217 + ... + 14343.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

2^1813560 is an apocalyptic number.

1813560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1813560 is the 1904-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760).

1813560 is an abundant number, since it is smaller than the sum of its proper divisors (4821960).

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

1813560 is a wasteful number, since it uses less digits than its factorization.

1813560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 1813560 is about 1346.6848183595. The cubic root of 1813560 is about 121.9487377576.

It can be divided in two parts, 181 and 3560, that added together give a triangular number (3741 = T₈₆).

The spelling of 1813560 in words is "one million, eight hundred thirteen thousand, five hundred sixty".