42581616 has 160 divisors (see below), whose sum is σ = 140990976. Its totient is φ = 10752000.

The previous prime is 42581593. The next prime is 42581633. The reversal of 42581616 is 61618524.

42581616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151396 + ... + 151676.

Almost surely, 2^42581616 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 42581616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70495488).

42581616 is an abundant number, since it is smaller than the sum of its proper divisors (98409360).

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

42581616 is a wasteful number, since it uses less digits than its factorization.

42581616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its digits is 11520, while the sum is 33.

The square root of 42581616 is about 6525.4590643111. The cubic root of 42581616 is about 349.1998483196.

The spelling of 42581616 in words is "forty-two million, five hundred eighty-one thousand, six hundred sixteen".