10442080 has 96 divisors (see below), whose sum is σ = 28576800. Its totient is φ = 3563520.

The previous prime is 10442053. The next prime is 10442083. The reversal of 10442080 is 8024401.

10442080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10442083) 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, 29746 + ... + 30094.

It is an arithmetic number, because the mean of its divisors is an integer number (297675).

Almost surely, 2^10442080 is an apocalyptic number.

10442080 is a gapful number since it is divisible by the number (10) 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 10442080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14288400).

10442080 is an abundant number, since it is smaller than the sum of its proper divisors (18134720).

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

10442080 is a wasteful number, since it uses less digits than its factorization.

10442080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 10442080 is about 3231.4207401699. The cubic root of 10442080 is about 218.5725766790.

Adding to 10442080 its reverse (8024401), we get a palindrome (18466481).

The spelling of 10442080 in words is "ten million, four hundred forty-two thousand, eighty".