42615936 has 256 divisors, whose sum is σ = 146880000. Its totient is φ = 12026880.

The previous prime is 42615929. The next prime is 42615961. The reversal of 42615936 is 63951624.

It is a happy number.

42615936 is a `hidden beast` number, since 4 + 2 + 61 + 593 + 6 = 666.

It is a super-2 number, since 2×42615936² = 3632236002312192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42615936.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 722275 + ... + 722333.

It is an arithmetic number, because the mean of its divisors is an integer number (573750).

Almost surely, 2^42615936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42615936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73440000).

42615936 is an abundant number, since it is smaller than the sum of its proper divisors (104264064).

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

42615936 is a wasteful number, since it uses less digits than its factorization.

42615936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 94 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 42615936 is about 6528.0882346978. The cubic root of 42615936 is about 349.2936393464.

The spelling of 42615936 in words is "forty-two million, six hundred fifteen thousand, nine hundred thirty-six".