42538608 has 140 divisors (see below), whose sum is σ = 141495408. Its totient is φ = 12130560.

The previous prime is 42538597. The next prime is 42538627. The reversal of 42538608 is 80683524.

42538608 is a `hidden beast` number, since 42 + 5 + 3 + 8 + 608 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 81388 + ... + 81908.

Almost surely, 2^42538608 is an apocalyptic number.

42538608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42538608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70747704).

42538608 is an abundant number, since it is smaller than the sum of its proper divisors (98956800).

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

42538608 is an equidigital number, since it uses as much as digits as its factorization.

42538608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 533 counting only the distinct ones).

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

The square root of 42538608 is about 6522.1628314540. The cubic root of 42538608 is about 349.0822432153.

The spelling of 42538608 in words is "forty-two million, five hundred thirty-eight thousand, six hundred eight".