42168960 has 96 divisors (see below), whose sum is σ = 145634580. Its totient is φ = 11243520.

The previous prime is 42168947. The next prime is 42168977. The reversal of 42168960 is 6986124.

It can be written as a sum of positive squares in 2 ways, for example, as 34012224 + 8156736 = 5832^2 + 2856^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2100 + ... + 9420.

Almost surely, 2^42168960 is an apocalyptic number.

42168960 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 42168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72817290).

42168960 is an abundant number, since it is smaller than the sum of its proper divisors (103465620).

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

42168960 is a wasteful number, since it uses less digits than its factorization.

42168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7346 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42168960 is about 6493.7631616806. The cubic root of 42168960 is about 348.0681594595.

The spelling of 42168960 in words is "forty-two million, one hundred sixty-eight thousand, nine hundred sixty".