42416960 has 112 divisors (see below), whose sum is σ = 107149392. Its totient is φ = 15974400.

The previous prime is 42416953. The next prime is 42416971. The reversal of 42416960 is 6961424.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11235904 + 31181056 = 3352^2 + 5584^2 .

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 695330 + ... + 695390.

It is an arithmetic number, because the mean of its divisors is an integer number (956691).

Almost surely, 2^42416960 is an apocalyptic number.

42416960 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 42416960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53574696).

42416960 is an abundant number, since it is smaller than the sum of its proper divisors (64732432).

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

42416960 is a wasteful number, since it uses less digits than its factorization.

42416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 42416960 is about 6512.8304138830. The cubic root of 42416960 is about 348.7491677459.

The spelling of 42416960 in words is "forty-two million, four hundred sixteen thousand, nine hundred sixty".