42960320 has 112 divisors (see below), whose sum is σ = 115214400. Its totient is φ = 15138816.

The previous prime is 42960301. The next prime is 42960329. The reversal of 42960320 is 2306924.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 42960320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42960329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95456 + ... + 95904.

It is an arithmetic number, because the mean of its divisors is an integer number (1028700).

Almost surely, 2^42960320 is an apocalyptic number.

42960320 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 42960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57607200).

42960320 is an abundant number, since it is smaller than the sum of its proper divisors (72254080).

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

42960320 is a wasteful number, since it uses less digits than its factorization.

42960320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 42960320 is about 6554.4122543520. The cubic root of 42960320 is about 350.2320094360.

The spelling of 42960320 in words is "forty-two million, nine hundred sixty thousand, three hundred twenty".