1863216 has 80 divisors (see below), whose sum is σ = 5654400. Its totient is φ = 585792.

The previous prime is 1863181. The next prime is 1863223. The reversal of 1863216 is 6123681.

1863216 is a `hidden beast` number, since 18 + 632 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1863216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8095 + ... + 8321.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

2^1863216 is an apocalyptic number.

1863216 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 1863216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2827200).

1863216 is an abundant number, since it is smaller than the sum of its proper divisors (3791184).

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

1863216 is a wasteful number, since it uses less digits than its factorization.

1863216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 1863216 is about 1364.9967032927. The cubic root of 1863216 is about 123.0517331461.

Adding to 1863216 its reverse (6123681), we get a palindrome (7986897).

The spelling of 1863216 in words is "one million, eight hundred sixty-three thousand, two hundred sixteen".