42047160 has 128 divisors (see below), whose sum is σ = 132710400. Its totient is φ = 10644480.

The previous prime is 42047147. The next prime is 42047167. The reversal of 42047160 is 6174024.

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 42047160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42047167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331017 + ... + 331143.

It is an arithmetic number, because the mean of its divisors is an integer number (1036800).

Almost surely, 2^42047160 is an apocalyptic number.

42047160 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 42047160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66355200).

42047160 is an abundant number, since it is smaller than the sum of its proper divisors (90663240).

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

42047160 is a wasteful number, since it uses less digits than its factorization.

42047160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42047160 is about 6484.3781506016. The cubic root of 42047160 is about 347.7327185350.

The spelling of 42047160 in words is "forty-two million, forty-seven thousand, one hundred sixty".