42281568 has 96 divisors (see below), whose sum is σ = 140958720. Its totient is φ = 12078720.

The previous prime is 42281563. The next prime is 42281573. The reversal of 42281568 is 86518224.

It is an interprime number because it is at equal distance from previous prime (42281563) and next prime (42281573).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42281563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2553 + ... + 9543.

It is an arithmetic number, because the mean of its divisors is an integer number (1468320).

Almost surely, 2^42281568 is an apocalyptic number.

42281568 is a gapful number since it is divisible by the number (48) 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 42281568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70479360).

42281568 is an abundant number, since it is smaller than the sum of its proper divisors (98677152).

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

42281568 is a wasteful number, since it uses less digits than its factorization.

42281568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7017 (or 7003 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 42281568 is about 6502.4278542710. The cubic root of 42281568 is about 348.3777111769.

It can be divided in two parts, 42281 and 568, that added together give a square (42849 = 207²).

The spelling of 42281568 in words is "forty-two million, two hundred eighty-one thousand, five hundred sixty-eight".