42364560 has 160 divisors (see below), whose sum is σ = 151990272. Its totient is φ = 9561600.

The previous prime is 42364549. The next prime is 42364571. The reversal of 42364560 is 6546324.

It is an interprime number because it is at equal distance from previous prime (42364549) and next prime (42364571).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253597 + ... + 253763.

Almost surely, 2^42364560 is an apocalyptic number.

42364560 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 42364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75995136).

42364560 is an abundant number, since it is smaller than the sum of its proper divisors (109625712).

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

42364560 is a wasteful number, since it uses less digits than its factorization.

42364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 42364560 is about 6508.8063421798. The cubic root of 42364560 is about 348.6054989029.

It can be divided in two parts, 42364 and 560, that added together give a palindrome (42924).

The spelling of 42364560 in words is "forty-two million, three hundred sixty-four thousand, five hundred sixty".