4239936 has 84 divisors (see below), whose sum is σ = 12897612. Its totient is φ = 1327104.

The previous prime is 4239931. The next prime is 4239971. The reversal of 4239936 is 6399324.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1806336 + 2433600 = 1344^2 + 1560^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 4239936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4239931) 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, 9576 + ... + 10008.

It is an arithmetic number, because the mean of its divisors is an integer number (153543).

Almost surely, 2^4239936 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 4239936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6448806).

4239936 is an abundant number, since it is smaller than the sum of its proper divisors (8657676).

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

4239936 is a wasteful number, since it uses less digits than its factorization.

4239936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 455 counting only the distinct ones).

The product of its digits is 34992, while the sum is 36.

The square root of 4239936 is about 2059.1104875650. The cubic root of 4239936 is about 161.8526323303.

The spelling of 4239936 in words is "four million, two hundred thirty-nine thousand, nine hundred thirty-six".