42561960 has 128 divisors (see below), whose sum is σ = 152340480. Its totient is φ = 9301248.

The previous prime is 42561941. The next prime is 42561971. The reversal of 42561960 is 6916524.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18219 + ... + 20421.

It is an arithmetic number, because the mean of its divisors is an integer number (1190160).

Almost surely, 2^42561960 is an apocalyptic number.

42561960 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 42561960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76170240).

42561960 is an abundant number, since it is smaller than the sum of its proper divisors (109778520).

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

42561960 is a wasteful number, since it uses less digits than its factorization.

42561960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247 (or 2243 counting only the distinct ones).

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

The square root of 42561960 is about 6523.9527895288. The cubic root of 42561960 is about 349.1461089419.

It can be divided in two parts, 4256 and 1960, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 42561960 in words is "forty-two million, five hundred sixty-one thousand, nine hundred sixty".