10842880 has 72 divisors (see below), whose sum is σ = 26710992. Its totient is φ = 4214784.

The previous prime is 10842859. The next prime is 10842883. The reversal of 10842880 is 8824801.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10842883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54942 + ... + 55138.

It is an arithmetic number, because the mean of its divisors is an integer number (370986).

Almost surely, 2^10842880 is an apocalyptic number.

10842880 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 10842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13355496).

10842880 is an abundant number, since it is smaller than the sum of its proper divisors (15868112).

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

10842880 is an equidigital number, since it uses as much as digits as its factorization.

10842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 10842880 is about 3292.8528664366. The cubic root of 10842880 is about 221.3340429970.

The spelling of 10842880 in words is "ten million, eight hundred forty-two thousand, eight hundred eighty".