42056960 has 144 divisors (see below), whose sum is σ = 114791040. Its totient is φ = 14622720.

The previous prime is 42056957. The next prime is 42056977. The reversal of 42056960 is 6965024.

It is a super-3 number, since 3×42056960³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 408269 + ... + 408371.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 2^42056960 is an apocalyptic number.

42056960 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 42056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57395520).

42056960 is an abundant number, since it is smaller than the sum of its proper divisors (72734080).

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

42056960 is a wasteful number, since it uses less digits than its factorization.

42056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 42056960 is about 6485.1337688594. The cubic root of 42056960 is about 347.7597319799.

The spelling of 42056960 in words is "forty-two million, fifty-six thousand, nine hundred sixty".