42521584 has 80 divisors (see below), whose sum is σ = 100120576. Its totient is φ = 17107200.

The previous prime is 42521579. The next prime is 42521597. The reversal of 42521584 is 48512524.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 128299 + ... + 128629.

Almost surely, 2^42521584 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 42521584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50060288).

42521584 is an abundant number, since it is smaller than the sum of its proper divisors (57598992).

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

42521584 is a wasteful number, since it uses less digits than its factorization.

42521584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 408 counting only the distinct ones).

The product of its digits is 12800, while the sum is 31.

The square root of 42521584 is about 6520.8576123084. The cubic root of 42521584 is about 349.0356692963.

The spelling of 42521584 in words is "forty-two million, five hundred twenty-one thousand, five hundred eighty-four".