42551168 has 64 divisors (see below), whose sum is σ = 94590720. Its totient is φ = 18900480.

The previous prime is 42551161. The next prime is 42551183. The reversal of 42551168 is 86115524.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42551161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65855 + ... + 66497.

It is an arithmetic number, because the mean of its divisors is an integer number (1477980).

Almost surely, 2^42551168 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 42551168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47295360).

42551168 is an abundant number, since it is smaller than the sum of its proper divisors (52039552).

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

42551168 is a wasteful number, since it uses less digits than its factorization.

42551168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 703 counting only the distinct ones).

The product of its digits is 9600, while the sum is 32.

The square root of 42551168 is about 6523.1256311679. The cubic root of 42551168 is about 349.1165966472.

The spelling of 42551168 in words is "forty-two million, five hundred fifty-one thousand, one hundred sixty-eight".