10883880 has 144 divisors (see below), whose sum is σ = 41214420. Its totient is φ = 2483712.

The previous prime is 10883863. The next prime is 10883881. The reversal of 10883880 is 8838801.

It can be written as a sum of positive squares in 2 ways, for example, as 9400356 + 1483524 = 3066^2 + 1218^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10883881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17332 + ... + 17948.

Almost surely, 2^10883880 is an apocalyptic number.

10883880 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 10883880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20607210).

10883880 is an abundant number, since it is smaller than the sum of its proper divisors (30330540).

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

10883880 is a wasteful number, since it uses less digits than its factorization.

10883880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 10883880 is about 3299.0725969581. The cubic root of 10883880 is about 221.6126676715.

The spelling of 10883880 in words is "ten million, eight hundred eighty-three thousand, eight hundred eighty".