42618120 has 64 divisors (see below), whose sum is σ = 128304000. Its totient is φ = 11324928.

The previous prime is 42618113. The next prime is 42618127. The reversal of 42618120 is 2181624.

It is an interprime number because it is at equal distance from previous prime (42618113) and next prime (42618127).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42618127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52276 + ... + 53084.

It is an arithmetic number, because the mean of its divisors is an integer number (2004750).

Almost surely, 2^42618120 is an apocalyptic number.

42618120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42618120 is an abundant number, since it is smaller than the sum of its proper divisors (85685880).

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

42618120 is a wasteful number, since it uses less digits than its factorization.

42618120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 42618120 is about 6528.2555097055. The cubic root of 42618120 is about 349.2996061618.

Adding to 42618120 its reverse (2181624), we get a palindrome (44799744).

The spelling of 42618120 in words is "forty-two million, six hundred eighteen thousand, one hundred twenty".