42213636 has 60 divisors (see below), whose sum is σ = 111427932. Its totient is φ = 13934592.

The previous prime is 42213583. The next prime is 42213643. The reversal of 42213636 is 63631224.

42213636 is a `hidden beast` number, since 4 + 2 + 21 + 3 + 636 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14017536 + 28196100 = 3744^2 + 5310^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 36036 + ... + 37188.

Almost surely, 2^42213636 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 42213636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55713966).

42213636 is an abundant number, since it is smaller than the sum of its proper divisors (69214296).

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

42213636 is a wasteful number, since it uses less digits than its factorization.

42213636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282 (or 1271 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 42213636 is about 6497.2021670870. The cubic root of 42213636 is about 348.1910366084.

It can be divided in two parts, 42213 and 636, that added together give a square (42849 = 207²).

The spelling of 42213636 in words is "forty-two million, two hundred thirteen thousand, six hundred thirty-six".