10933840 has 40 divisors (see below), whose sum is σ = 25701480. Its totient is φ = 4325376.

The previous prime is 10933831. The next prime is 10933859. The reversal of 10933840 is 4833901.

It can be written as a sum of positive squares in 4 ways, for example, as 17424 + 10916416 = 132^2 + 3304^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 10933799 and 10933808.

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 7 ways as a sum of consecutive naturals, for example, 7056 + ... + 8464.

It is an arithmetic number, because the mean of its divisors is an integer number (642537).

Almost surely, 2^10933840 is an apocalyptic number.

10933840 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 10933840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12850740).

10933840 is an abundant number, since it is smaller than the sum of its proper divisors (14767640).

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

10933840 is a wasteful number, since it uses less digits than its factorization.

10933840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 10933840 is about 3306.6357525437. The cubic root of 10933840 is about 221.9512378360.

The spelling of 10933840 in words is "ten million, nine hundred thirty-three thousand, eight hundred forty".