42760160 has 96 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 16035840.

The previous prime is 42760147. The next prime is 42760163. The reversal of 42760160 is 6106724.

42760160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42760163) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 183404 + ... + 183636.

It is an arithmetic number, because the mean of its divisors is an integer number (1120392).

Almost surely, 2^42760160 is an apocalyptic number.

42760160 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 42760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

42760160 is an abundant number, since it is smaller than the sum of its proper divisors (64797472).

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

42760160 is a wasteful number, since it uses less digits than its factorization.

42760160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 42760160 is about 6539.1253237723. The cubic root of 42760160 is about 349.6872307885.

Adding to 42760160 its reverse (6106724), we get a palindrome (48866884).

The spelling of 42760160 in words is "forty-two million, seven hundred sixty thousand, one hundred sixty".