42615980 has 48 divisors (see below), whose sum is σ = 98685216. Its totient is φ = 15329280.

The previous prime is 42615977. The next prime is 42615983. The reversal of 42615980 is 8951624.

It is an interprime number because it is at equal distance from previous prime (42615977) and next prime (42615983).

It is a super-2 number, since 2×42615980² = 3632243502720800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42615980.

It is not an unprimeable number, because it can be changed into a prime (42615983) 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, 20342 + ... + 22338.

It is an arithmetic number, because the mean of its divisors is an integer number (2055942).

Almost surely, 2^42615980 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 42615980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49342608).

42615980 is an abundant number, since it is smaller than the sum of its proper divisors (56069236).

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

42615980 is a wasteful number, since it uses less digits than its factorization.

42615980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 42615980 is about 6528.0916047494. The cubic root of 42615980 is about 349.2937595590.

The spelling of 42615980 in words is "forty-two million, six hundred fifteen thousand, nine hundred eighty".