10883040 has 192 divisors, whose sum is σ = 40642560. Its totient is φ = 2396160.

The previous prime is 10882997. The next prime is 10883051. The reversal of 10883040 is 4038801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10883040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137721 + ... + 137799.

It is an arithmetic number, because the mean of its divisors is an integer number (211680).

Almost surely, 2^10883040 is an apocalyptic number.

10883040 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 10883040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20321280).

10883040 is an abundant number, since it is smaller than the sum of its proper divisors (29759520).

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

10883040 is a wasteful number, since it uses less digits than its factorization.

10883040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10883040 is about 3298.9452859967. The cubic root of 10883040 is about 221.6069662908.

The spelling of 10883040 in words is "ten million, eight hundred eighty-three thousand, forty".