1863936 has 54 divisors (see below), whose sum is σ = 5380830. Its totient is φ = 620544.

The previous prime is 1863929. The next prime is 1863941. The reversal of 1863936 is 6393681.

It is a happy number.

1863936 is a `hidden beast` number, since 18 + 639 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1806336 + 57600 = 1344^2 + 240^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 1863936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1900 + ... + 2708.

It is an arithmetic number, because the mean of its divisors is an integer number (99645).

2^1863936 is an apocalyptic number.

1863936 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 1863936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2690415).

1863936 is an abundant number, since it is smaller than the sum of its proper divisors (3516894).

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

1863936 is an equidigital number, since it uses as much as digits as its factorization.

1863936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 814 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 1863936 is about 1365.2604147195. The cubic root of 1863936 is about 123.0675813422.

The spelling of 1863936 in words is "one million, eight hundred sixty-three thousand, nine hundred thirty-six".