10942880 has 48 divisors (see below), whose sum is σ = 27846504. Its totient is φ = 4039680.

The previous prime is 10942873. The next prime is 10942891. The reversal of 10942880 is 8824901.

10942880 = T₁₂₉₁ + T₁₂₉₂ + ... + T₁₃₀₃.

It is a happy number.

10942880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8133904 + 2808976 = 2852^2 + 1676^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 551 + ... + 4710.

Almost surely, 2^10942880 is an apocalyptic number.

10942880 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 10942880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923252).

10942880 is an abundant number, since it is smaller than the sum of its proper divisors (16903624).

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

10942880 is a wasteful number, since it uses less digits than its factorization.

10942880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5289 (or 5281 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 10942880 is about 3308.0024183788. The cubic root of 10942880 is about 222.0123900776.

The spelling of 10942880 in words is "ten million, nine hundred forty-two thousand, eight hundred eighty".