10853440 has 56 divisors (see below), whose sum is σ = 27843480. Its totient is φ = 4005888.

The previous prime is 10853431. The next prime is 10853449. The reversal of 10853440 is 4435801.

It is an interprime number because it is at equal distance from previous prime (10853431) and next prime (10853449).

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 10705984 = 384^2 + 3272^2 .

It is not an unprimeable number, because it can be changed into a prime (10853449) 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, 2856 + ... + 5464.

It is an arithmetic number, because the mean of its divisors is an integer number (497205).

Almost surely, 2^10853440 is an apocalyptic number.

10853440 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 10853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13921740).

10853440 is an abundant number, since it is smaller than the sum of its proper divisors (16990040).

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

10853440 is a wasteful number, since it uses less digits than its factorization.

10853440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2629 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 10853440 is about 3294.4559490150. The cubic root of 10853440 is about 221.4058729024.

The spelling of 10853440 in words is "ten million, eight hundred fifty-three thousand, four hundred forty".