18945936 has 60 divisors (see below), whose sum is σ = 54332460. Its totient is φ = 6159360.

The previous prime is 18945931. The next prime is 18945937. The reversal of 18945936 is 63954981.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 14017536 = 2220^2 + 3744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 18945891 and 18945900.

It is not an unprimeable number, because it can be changed into a prime (18945931) 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, 4300 + ... + 7508.

It is an arithmetic number, because the mean of its divisors is an integer number (905541).

Almost surely, 2^18945936 is an apocalyptic number.

18945936 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 18945936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27166230).

18945936 is an abundant number, since it is smaller than the sum of its proper divisors (35386524).

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

18945936 is a wasteful number, since it uses less digits than its factorization.

18945936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3255 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 18945936 is about 4352.6929595367. The cubic root of 18945936 is about 266.5868288774.

It can be divided in two parts, 18945 and 936, that added together give a square (19881 = 141²).

The spelling of 18945936 in words is "eighteen million, nine hundred forty-five thousand, nine hundred thirty-six".