42632208 has 60 divisors (see below), whose sum is σ = 120237468. Its totient is φ = 14100480.

The previous prime is 42632207. The next prime is 42632231. The reversal of 42632208 is 80223624.

42632208 is a `hidden beast` number, since 4 + 2 + 632 + 20 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25887744 + 16744464 = 5088^2 + 4092^2 .

It is not an unprimeable number, because it can be changed into a prime (42632207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18648 + ... + 20808.

Almost surely, 2^42632208 is an apocalyptic number.

42632208 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 42632208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60118734).

42632208 is an abundant number, since it is smaller than the sum of its proper divisors (77605260).

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

42632208 is a wasteful number, since it uses less digits than its factorization.

42632208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2312 (or 2303 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42632208 is about 6529.3344224354. The cubic root of 42632208 is about 349.3380905023.

It can be divided in two parts, 42 and 632208, that added together give a triangular number (632250 = T₁₁₂₄).

The spelling of 42632208 in words is "forty-two million, six hundred thirty-two thousand, two hundred eight".