42616 has 16 divisors (see below), whose sum is σ = 91440. Its totient is φ = 18240.

The previous prime is 42611. The next prime is 42641. The reversal of 42616 is 61624.

42616 = 75² + 76² + ... + 81².

42616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42616² = 3632246912, which contains 22 as substring.

It is a nialpdrome in base 9 and base 15.

It is a junction number, because it is equal to n+sod(n) for n = 42593 and 42602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42611) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 325 + ... + 436.

It is an arithmetic number, because the mean of its divisors is an integer number (5715).

2⁴²⁶¹⁶ is an apocalyptic number.

It is an amenable number.

42616 is an abundant number, since it is smaller than the sum of its proper divisors (48824).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45720).

42616 is a wasteful number, since it uses less digits than its factorization.

42616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 770 counting only the distinct ones).

The product of its digits is 288, while the sum is 19.

The square root of 42616 is about 206.4364308934. The cubic root of 42616 is about 34.9293814201.

The spelling of 42616 in words is "forty-two thousand, six hundred sixteen".