1813888 has 32 divisors (see below), whose sum is σ = 3720960. Its totient is φ = 880128.

The previous prime is 1813853. The next prime is 1813897. The reversal of 1813888 is 8883181.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4545 + ... + 4927.

It is an arithmetic number, because the mean of its divisors is an integer number (116280).

2^1813888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1813888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860480).

1813888 is an abundant number, since it is smaller than the sum of its proper divisors (1907072).

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

1813888 is an equidigital number, since it uses as much as digits as its factorization.

1813888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 422 counting only the distinct ones).

The product of its digits is 12288, while the sum is 37.

The square root of 1813888 is about 1346.8065933905. The cubic root of 1813888 is about 121.9560891870.

It can be divided in two parts, 1813 and 888, that added together give a triangular number (2701 = T₇₃).

The spelling of 1813888 in words is "one million, eight hundred thirteen thousand, eight hundred eighty-eight".