42068880 has 240 divisors, whose sum is σ = 171310464. Its totient is φ = 9031680.

The previous prime is 42068867. The next prime is 42068881. The reversal of 42068880 is 8886024.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×42068880³ (a number of 24 digits) contains 333 as substring.

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 (42068881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85435 + ... + 85925.

Almost surely, 2^42068880 is an apocalyptic number.

42068880 is a gapful number since it is divisible by the number (40) 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 42068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85655232).

42068880 is an abundant number, since it is smaller than the sum of its proper divisors (129241584).

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

42068880 is a wasteful number, since it uses less digits than its factorization.

42068880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 525 counting only the distinct ones).

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

The square root of 42068880 is about 6486.0527287403. The cubic root of 42068880 is about 347.7925834940.

The spelling of 42068880 in words is "forty-two million, sixty-eight thousand, eight hundred eighty".