42680616 has 64 divisors (see below), whose sum is σ = 117028800. Its totient is φ = 12864000.

The previous prime is 42680611. The next prime is 42680621. The reversal of 42680616 is 61608624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (42680611) and next prime (42680621).

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

It is not an unprimeable number, because it can be changed into a prime (42680611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70716 + ... + 71316.

It is an arithmetic number, because the mean of its divisors is an integer number (1828575).

Almost surely, 2^42680616 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 42680616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58514400).

42680616 is an abundant number, since it is smaller than the sum of its proper divisors (74348184).

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

42680616 is a wasteful number, since it uses less digits than its factorization.

42680616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42680616 is about 6533.0403335660. The cubic root of 42680616 is about 349.4702625737.

The spelling of 42680616 in words is "forty-two million, six hundred eighty thousand, six hundred sixteen".