42616980 has 144 divisors (see below), whose sum is σ = 149385600. Its totient is φ = 9633024.

The previous prime is 42616967. The next prime is 42616991. The reversal of 42616980 is 8961624.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187627 + ... + 187853.

It is an arithmetic number, because the mean of its divisors is an integer number (1037400).

Almost surely, 2^42616980 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 42616980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

42616980 is an abundant number, since it is smaller than the sum of its proper divisors (106768620).

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

42616980 is a wasteful number, since it uses less digits than its factorization.

42616980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42616980 is about 6528.1681963626. The cubic root of 42616980 is about 349.2964916407.

The spelling of 42616980 in words is "forty-two million, six hundred sixteen thousand, nine hundred eighty".