42956160 has 128 divisors (see below), whose sum is σ = 147540960. Its totient is φ = 10567680.

The previous prime is 42956153. The next prime is 42956191. The reversal of 42956160 is 6165924.

It is a tau number, because it is divible by the number of its divisors (128).

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, 24100 + ... + 25820.

Almost surely, 2^42956160 is an apocalyptic number.

42956160 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 42956160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73770480).

42956160 is an abundant number, since it is smaller than the sum of its proper divisors (104584800).

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

42956160 is a wasteful number, since it uses less digits than its factorization.

42956160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1756 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 42956160 is about 6554.0949031884. The cubic root of 42956160 is about 350.2207043356.

The spelling of 42956160 in words is "forty-two million, nine hundred fifty-six thousand, one hundred sixty".