42960 has 40 divisors (see below), whose sum is σ = 133920. Its totient is φ = 11392.

The previous prime is 42953. The next prime is 42961. The reversal of 42960 is 6924.

42960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42961) by changing a digit.

42960 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151 + ... + 329.

It is an arithmetic number, because the mean of its divisors is an integer number (3348).

2⁴²⁹⁶⁰ is an apocalyptic number.

42960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

42960 is the 120-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66960).

42960 is an abundant number, since it is smaller than the sum of its proper divisors (90960).

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

42960 is a wasteful number, since it uses less digits than its factorization.

42960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 42960 is about 207.2679425285. The cubic root of 42960 is about 35.0231139839.

The spelling of 42960 in words is "forty-two thousand, nine hundred sixty".