42615360 has 84 divisors (see below), whose sum is σ = 146588988. Its totient is φ = 11363328.

The previous prime is 42615337. The next prime is 42615361. The reversal of 42615360 is 6351624.

42615360 is a `hidden beast` number, since 42 + 615 + 3 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15492096 + 27123264 = 3936^2 + 5208^2 .

It is not an unprimeable number, because it can be changed into a prime (42615361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4519 + ... + 10278.

It is an arithmetic number, because the mean of its divisors is an integer number (1745107).

Almost surely, 2^42615360 is an apocalyptic number.

42615360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42615360 is an abundant number, since it is smaller than the sum of its proper divisors (103973628).

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

42615360 is a wasteful number, since it uses less digits than its factorization.

42615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14820 (or 14807 counting only the distinct ones).

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

The square root of 42615360 is about 6528.0441174980. The cubic root of 42615360 is about 349.2920656468.

Adding to 42615360 its reverse (6351624), we get a palindrome (48966984).

The spelling of 42615360 in words is "forty-two million, six hundred fifteen thousand, three hundred sixty".