42611136 has 56 divisors (see below), whose sum is σ = 115513104. Its totient is φ = 13854720.

The previous prime is 42611131. The next prime is 42611141. The reversal of 42611136 is 63111624.

It is an interprime number because it is at equal distance from previous prime (42611131) and next prime (42611141).

It is a super-2 number, since 2×42611136² = 3631417822420992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5166 + ... + 10578.

It is an arithmetic number, because the mean of its divisors is an integer number (2062734).

Almost surely, 2^42611136 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 42611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57756552).

42611136 is an abundant number, since it is smaller than the sum of its proper divisors (72901968).

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

42611136 is a wasteful number, since it uses less digits than its factorization.

42611136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5459 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 42611136 is about 6527.7205822553. The cubic root of 42611136 is about 349.2805247498.

The spelling of 42611136 in words is "forty-two million, six hundred eleven thousand, one hundred thirty-six".