42518520 has 160 divisors (see below), whose sum is σ = 156031920. Its totient is φ = 10298880.

The previous prime is 42518519. The next prime is 42518533. The reversal of 42518520 is 2581524.

It is a happy number.

42518520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3 and base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 35044 + ... + 36236.

Almost surely, 2^42518520 is an apocalyptic number.

42518520 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 42518520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78015960).

42518520 is an abundant number, since it is smaller than the sum of its proper divisors (113513400).

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

42518520 is a wasteful number, since it uses less digits than its factorization.

42518520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 42518520 is about 6520.6226696536. The cubic root of 42518520 is about 349.0272855463.

The spelling of 42518520 in words is "forty-two million, five hundred eighteen thousand, five hundred twenty".