42680520 has 96 divisors (see below), whose sum is σ = 143881920. Its totient is φ = 11378880.

The previous prime is 42680507. The next prime is 42680527. The reversal of 42680520 is 2508624.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42680527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7525 + ... + 11915.

It is an arithmetic number, because the mean of its divisors is an integer number (1498770).

Almost surely, 2^42680520 is an apocalyptic number.

42680520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42680520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71940960).

42680520 is an abundant number, since it is smaller than the sum of its proper divisors (101201400).

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

42680520 is a wasteful number, since it uses less digits than its factorization.

42680520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4417 (or 4401 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 42680520 is about 6533.0329862936. The cubic root of 42680520 is about 349.4700005565.

The spelling of 42680520 in words is "forty-two million, six hundred eighty thousand, five hundred twenty".