42520 has 16 divisors (see below), whose sum is σ = 95760. Its totient is φ = 16992.

The previous prime is 42509. The next prime is 42533. The reversal of 42520 is 2524.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 42520.

It is a congruent number.

It is an unprimeable number.

42520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 492 + ... + 571.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

2⁴²⁵²⁰ is an apocalyptic number.

42520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42520 is an abundant number, since it is smaller than the sum of its proper divisors (53240).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880).

42520 is a wasteful number, since it uses less digits than its factorization.

42520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 42520 is about 206.2037827005. The cubic root of 42520 is about 34.9031335189.

The spelling of 42520 in words is "forty-two thousand, five hundred twenty".