42228560 has 80 divisors (see below), whose sum is σ = 109492992. Its totient is φ = 15014400.

The previous prime is 42228551. The next prime is 42228569. The reversal of 42228560 is 6582224.

It is an interprime number because it is at equal distance from previous prime (42228551) and next prime (42228569).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42228569) 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, 40850 + ... + 41870.

Almost surely, 2^42228560 is an apocalyptic number.

42228560 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 42228560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54746496).

42228560 is an abundant number, since it is smaller than the sum of its proper divisors (67264432).

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

42228560 is a wasteful number, since it uses less digits than its factorization.

42228560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 42228560 is about 6498.3505599498. The cubic root of 42228560 is about 348.2320643526.

It can be divided in two parts, 422 and 28560, that added together give a palindrome (28982).

The spelling of 42228560 in words is "forty-two million, two hundred twenty-eight thousand, five hundred sixty".