42615576 has 96 divisors (see below), whose sum is σ = 121480320. Its totient is φ = 13478400.

The previous prime is 42615569. The next prime is 42615581. The reversal of 42615576 is 67551624.

It is a happy number.

42615576 is a `hidden beast` number, since 42 + 61 + 557 + 6 = 666.

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 42615576.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135996 + ... + 136308.

It is an arithmetic number, because the mean of its divisors is an integer number (1265420).

Almost surely, 2^42615576 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 42615576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60740160).

42615576 is an abundant number, since it is smaller than the sum of its proper divisors (78864744).

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

42615576 is a wasteful number, since it uses less digits than its factorization.

42615576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 410 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 42615576 is about 6528.0606614829. The cubic root of 42615576 is about 349.2926557858.

The spelling of 42615576 in words is "forty-two million, six hundred fifteen thousand, five hundred seventy-six".