42612160 has 112 divisors (see below), whose sum is σ = 107716320. Its totient is φ = 16035840.

The previous prime is 42612109. The next prime is 42612173. The reversal of 42612160 is 6121624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 698530 + ... + 698590.

Almost surely, 2^42612160 is an apocalyptic number.

42612160 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 42612160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53858160).

42612160 is an abundant number, since it is smaller than the sum of its proper divisors (65104160).

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

42612160 is a wasteful number, since it uses less digits than its factorization.

42612160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 42612160 is about 6527.7990165139. The cubic root of 42612160 is about 349.2833226131.

Adding to 42612160 its reverse (6121624), we get a palindrome (48733784).

The spelling of 42612160 in words is "forty-two million, six hundred twelve thousand, one hundred sixty".