42614616 has 64 divisors (see below), whose sum is σ = 117100800. Its totient is φ = 12816000.

The previous prime is 42614609. The next prime is 42614617. The reversal of 42614616 is 61641624.

42614616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42614617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 39330 + ... + 40398.

It is an arithmetic number, because the mean of its divisors is an integer number (1829700).

Almost surely, 2^42614616 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 42614616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58550400).

42614616 is an abundant number, since it is smaller than the sum of its proper divisors (74486184).

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

42614616 is a wasteful number, since it uses less digits than its factorization.

42614616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1236 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 42614616 is about 6527.9871323403. The cubic root of 42614616 is about 349.2900329305.

The spelling of 42614616 in words is "forty-two million, six hundred fourteen thousand, six hundred sixteen".