42088608 has 36 divisors (see below), whose sum is σ = 119690298. Its totient is φ = 14029440.

The previous prime is 42088603. The next prime is 42088621. The reversal of 42088608 is 80688024.

42088608 is a `hidden beast` number, since 42 + 0 + 8 + 8 + 608 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26501904 + 15586704 = 5148^2 + 3948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (42088601) 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, 72783 + ... + 73358.

Almost surely, 2^42088608 is an apocalyptic number.

42088608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42088608 is an abundant number, since it is smaller than the sum of its proper divisors (77601690).

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

42088608 is a wasteful number, since it uses less digits than its factorization.

42088608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146157 (or 146146 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 42088608 is about 6487.5733521865. The cubic root of 42088608 is about 347.8469402208.

The spelling of 42088608 in words is "forty-two million, eighty-eight thousand, six hundred eight".