42036588 has 144 divisors (see below), whose sum is σ = 126147840. Its totient is φ = 11664000.

The previous prime is 42036583. The next prime is 42036623. The reversal of 42036588 is 88563024.

42036588 is a `hidden beast` number, since 42 + 0 + 36 + 588 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42036581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278313 + ... + 278463.

Almost surely, 2^42036588 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 42036588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63073920).

42036588 is an abundant number, since it is smaller than the sum of its proper divisors (84111252).

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

42036588 is a wasteful number, since it uses less digits than its factorization.

42036588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42036588 is about 6483.5629093886. The cubic root of 42036588 is about 347.7035723853.

It can be divided in two parts, 42036 and 588, that added together give a palindrome (42624).

The spelling of 42036588 in words is "forty-two million, thirty-six thousand, five hundred eighty-eight".