42316560 has 320 divisors, whose sum is σ = 172488960. Its totient is φ = 9400320.

The previous prime is 42316543. The next prime is 42316577. The reversal of 42316560 is 6561324.

42316560 = 156² + 157² + ... + 507².

42316560 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 656 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42316543) and next prime (42316577).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 308812 + ... + 308948.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 2^42316560 is an apocalyptic number.

42316560 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 42316560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86244480).

42316560 is an abundant number, since it is smaller than the sum of its proper divisors (130172400).

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

42316560 is a wasteful number, since it uses less digits than its factorization.

42316560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42316560 is about 6505.1179850945. The cubic root of 42316560 is about 348.4737898551.

Adding to 42316560 its reverse (6561324), we get a palindrome (48877884).

The spelling of 42316560 in words is "forty-two million, three hundred sixteen thousand, five hundred sixty".