42054320 has 80 divisors (see below), whose sum is σ = 121920768. Its totient is φ = 13105920.

The previous prime is 42054319. The next prime is 42054323. The reversal of 42054320 is 2345024.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 42054292 and 42054301.

It is not an unprimeable number, because it can be changed into a prime (42054323) 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, 2747 + ... + 9573.

Almost surely, 2^42054320 is an apocalyptic number.

42054320 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 42054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60960384).

42054320 is an abundant number, since it is smaller than the sum of its proper divisors (79866448).

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

42054320 is a wasteful number, since it uses less digits than its factorization.

42054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6858 (or 6852 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 42054320 is about 6484.9302232175. The cubic root of 42054320 is about 347.7524553016.

Adding to 42054320 its reverse (2345024), we get a palindrome (44399344).

The spelling of 42054320 in words is "forty-two million, fifty-four thousand, three hundred twenty".