42182080 has 56 divisors (see below), whose sum is σ = 101114352. Its totient is φ = 16760832.

The previous prime is 42182059. The next prime is 42182081. The reversal of 42182080 is 8028124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42182081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61419 + ... + 62101.

Almost surely, 2^42182080 is an apocalyptic number.

42182080 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 42182080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50557176).

42182080 is an abundant number, since it is smaller than the sum of its proper divisors (58932272).

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

42182080 is a wasteful number, since it uses less digits than its factorization.

42182080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 42182080 is about 6494.7732831870. The cubic root of 42182080 is about 348.1042537868.

The spelling of 42182080 in words is "forty-two million, one hundred eighty-two thousand, eighty".