42160720 has 80 divisors (see below), whose sum is σ = 113564160. Its totient is φ = 14257152.

The previous prime is 42160717. The next prime is 42160757. The reversal of 42160720 is 2706124.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 42160691 and 42160700.

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, 43764 + ... + 44716.

It is an arithmetic number, because the mean of its divisors is an integer number (1419552).

Almost surely, 2^42160720 is an apocalyptic number.

42160720 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 42160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56782080).

42160720 is an abundant number, since it is smaller than the sum of its proper divisors (71403440).

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

42160720 is a wasteful number, since it uses less digits than its factorization.

42160720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 42160720 is about 6493.1286757618. The cubic root of 42160720 is about 348.0454866336.

Adding to 42160720 its reverse (2706124), we get a palindrome (44866844).

The spelling of 42160720 in words is "forty-two million, one hundred sixty thousand, seven hundred twenty".