42532020 has 96 divisors (see below), whose sum is σ = 134131200. Its totient is φ = 11187072.

The previous prime is 42531971. The next prime is 42532027. The reversal of 42532020 is 2023524.

42532020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 42531984 and 42532002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42532027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42162 + ... + 43158.

It is an arithmetic number, because the mean of its divisors is an integer number (1397200).

Almost surely, 2^42532020 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 42532020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67065600).

42532020 is an abundant number, since it is smaller than the sum of its proper divisors (91599180).

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

42532020 is a wasteful number, since it uses less digits than its factorization.

42532020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42532020 is about 6521.6577647098. The cubic root of 42532020 is about 349.0642213707.

Adding to 42532020 its reverse (2023524), we get a palindrome (44555544).

The spelling of 42532020 in words is "forty-two million, five hundred thirty-two thousand, twenty".