42217560 has 192 divisors, whose sum is σ = 171175680. Its totient is φ = 8766720.

The previous prime is 42217547. The next prime is 42217583. The reversal of 42217560 is 6571224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26959 + ... + 28481.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 2^42217560 is an apocalyptic number.

42217560 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 42217560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85587840).

42217560 is an abundant number, since it is smaller than the sum of its proper divisors (128958120).

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

42217560 is a wasteful number, since it uses less digits than its factorization.

42217560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1551 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42217560 is about 6497.5041362049. The cubic root of 42217560 is about 348.2018250599.

Adding to 42217560 its reverse (6571224), we get a palindrome (48788784).

It can be divided in two parts, 4221 and 7560, that added together give a triangular number (11781 = T₁₅₃).

The spelling of 42217560 in words is "forty-two million, two hundred seventeen thousand, five hundred sixty".