42020264 has 64 divisors (see below), whose sum is σ = 96647040. Its totient is φ = 16853760.

The previous prime is 42020261. The next prime is 42020273. The reversal of 42020264 is 46202024.

It is not an unprimeable number, because it can be changed into a prime (42020261) 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, 25514 + ... + 27110.

It is an arithmetic number, because the mean of its divisors is an integer number (1510110).

Almost surely, 2^42020264 is an apocalyptic number.

42020264 is a gapful number since it is divisible by the number (44) 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 42020264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48323520).

42020264 is an abundant number, since it is smaller than the sum of its proper divisors (54626776).

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

42020264 is a wasteful number, since it uses less digits than its factorization.

42020264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 42020264 is about 6482.3039114191. The cubic root of 42020264 is about 347.6585588368.

Adding to 42020264 its reverse (46202024), we get a palindrome (88222288).

The spelling of 42020264 in words is "forty-two million, twenty thousand, two hundred sixty-four".