1810368 has 84 divisors (see below), whose sum is σ = 5943600. Its totient is φ = 516096.

The previous prime is 1810363. The next prime is 1810397. The reversal of 1810368 is 8630181.

It is a tau number, because it is divible by the number of its divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1810363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3808 + ... + 4256.

2^1810368 is an apocalyptic number.

1810368 is a gapful number since it is divisible by the number (18) 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 1810368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971800).

1810368 is an abundant number, since it is smaller than the sum of its proper divisors (4133232).

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

1810368 is a wasteful number, since it uses less digits than its factorization.

1810368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1810368 is about 1345.4991638793. The cubic root of 1810368 is about 121.8771494690.

It can be divided in two parts, 18 and 10368, that multiplied together give a square (186624 = 432²).

The spelling of 1810368 in words is "one million, eight hundred ten thousand, three hundred sixty-eight".