10442880 has 288 divisors, whose sum is σ = 43081740. Its totient is φ = 2322432.

The previous prime is 10442819. The next prime is 10442891. The reversal of 10442880 is 8824401.

It can be written as a sum of positive squares in 2 ways, for example, as 10188864 + 254016 = 3192^2 + 504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282222 + ... + 282258.

Almost surely, 2^10442880 is an apocalyptic number.

10442880 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 10442880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21540870).

10442880 is an abundant number, since it is smaller than the sum of its proper divisors (32638860).

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

10442880 is a wasteful number, since it uses less digits than its factorization.

10442880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 10442880 is about 3231.5445223608. The cubic root of 10442880 is about 218.5781583765.

The spelling of 10442880 in words is "ten million, four hundred forty-two thousand, eight hundred eighty".