42515160 has 128 divisors (see below), whose sum is σ = 139104000. Its totient is φ = 10354176.

The previous prime is 42515159. The next prime is 42515177. The reversal of 42515160 is 6151524.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42515160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65799 + ... + 66441.

It is an arithmetic number, because the mean of its divisors is an integer number (1086750).

Almost surely, 2^42515160 is an apocalyptic number.

42515160 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 42515160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69552000).

42515160 is an abundant number, since it is smaller than the sum of its proper divisors (96588840).

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

42515160 is a wasteful number, since it uses less digits than its factorization.

42515160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 42515160 is about 6520.3650204571. The cubic root of 42515160 is about 349.0180914150.

Adding to 42515160 its reverse (6151524), we get a palindrome (48666684).

The spelling of 42515160 in words is "forty-two million, five hundred fifteen thousand, one hundred sixty".