42520960 has 96 divisors (see below), whose sum is σ = 106610400. Its totient is φ = 16214016.

The previous prime is 42520943. The next prime is 42520969. The reversal of 42520960 is 6902524.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42520969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538201 + ... + 538279.

It is an arithmetic number, because the mean of its divisors is an integer number (1110525).

Almost surely, 2^42520960 is an apocalyptic number.

42520960 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 42520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53305200).

42520960 is an abundant number, since it is smaller than the sum of its proper divisors (64089440).

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

42520960 is an equidigital number, since it uses as much as digits as its factorization.

42520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 42520960 is about 6520.8097656656. The cubic root of 42520960 is about 349.0339619334.

The spelling of 42520960 in words is "forty-two million, five hundred twenty thousand, nine hundred sixty".