42965856 has 72 divisors (see below), whose sum is σ = 125881560. Its totient is φ = 14257728.

The previous prime is 42965833. The next prime is 42965861. The reversal of 42965856 is 65856924.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42965856 is digitally balanced in base 2, because in such base 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 192561 + ... + 192783.

It is an arithmetic number, because the mean of its divisors is an integer number (1748355).

Almost surely, 2^42965856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42965856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62940780).

42965856 is an abundant number, since it is smaller than the sum of its proper divisors (82915704).

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

42965856 is an equidigital number, since it uses as much as digits as its factorization.

42965856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 228 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 42965856 is about 6554.8345516878. The cubic root of 42965856 is about 350.2470527839.

The spelling of 42965856 in words is "forty-two million, nine hundred sixty-five thousand, eight hundred fifty-six".