42233616 has 80 divisors (see below), whose sum is σ = 123355200. Its totient is φ = 13830912.

The previous prime is 42233591. The next prime is 42233617. The reversal of 42233616 is 61633224.

42233616 is a `hidden beast` number, since 42 + 2 + 3 + 3 + 616 = 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 42233616.

It is not an unprimeable number, because it can be changed into a prime (42233617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24660 + ... + 26316.

It is an arithmetic number, because the mean of its divisors is an integer number (1541940).

Almost surely, 2^42233616 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 42233616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61677600).

42233616 is an abundant number, since it is smaller than the sum of its proper divisors (81121584).

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

42233616 is a wasteful number, since it uses less digits than its factorization.

42233616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1733 (or 1721 counting only the distinct ones).

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

The square root of 42233616 is about 6498.7395701013. The cubic root of 42233616 is about 348.2459616696.

It can be divided in two parts, 42233 and 616, that added together give a square (42849 = 207²).

The spelling of 42233616 in words is "forty-two million, two hundred thirty-three thousand, six hundred sixteen".