42086624 has 36 divisors (see below), whose sum is σ = 84409416. Its totient is φ = 20654592.

The previous prime is 42086621. The next prime is 42086633. The reversal of 42086624 is 42668024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42086621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 372392 + ... + 372504.

It is an arithmetic number, because the mean of its divisors is an integer number (2344706).

Almost surely, 2^42086624 is an apocalyptic number.

It is an amenable number.

42086624 is an abundant number, since it is smaller than the sum of its proper divisors (42322792).

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

42086624 is a wasteful number, since it uses less digits than its factorization.

42086624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 42086624 is about 6487.4204426721. The cubic root of 42086624 is about 347.8414744569.

The spelling of 42086624 in words is "forty-two million, eighty-six thousand, six hundred twenty-four".