42520320 has 108 divisors (see below), whose sum is σ = 147155736. Its totient is φ = 11335680.

The previous prime is 42520273. The next prime is 42520327. The reversal of 42520320 is 2302524.

It is a super-2 number, since 2×42520320² = 3615955225804800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42520293 and 42520302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42520327) 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, 9675 + ... + 13365.

Almost surely, 2^42520320 is an apocalyptic number.

42520320 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 42520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73577868).

42520320 is an abundant number, since it is smaller than the sum of its proper divisors (104635416).

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

42520320 is a wasteful number, since it uses less digits than its factorization.

42520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 3701 counting only the distinct ones).

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

The square root of 42520320 is about 6520.7606918212. The cubic root of 42520320 is about 349.0322107746.

Adding to 42520320 its reverse (2302524), we get a palindrome (44822844).

The spelling of 42520320 in words is "forty-two million, five hundred twenty thousand, three hundred twenty".