10775440 has 60 divisors (see below), whose sum is σ = 27162324. Its totient is φ = 3973632.

The previous prime is 10775437. The next prime is 10775449. The reversal of 10775440 is 4457701.

10775440 = T₅₄₃ + T₅₄₄ + ... + T₆₀₇.

It can be written as a sum of positive squares in 6 ways, for example, as 2202256 + 8573184 = 1484^2 + 2928^2 .

It is a super-2 number, since 2×10775440² = 232220214387200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10775399 and 10775408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13122 + ... + 13918.

Almost surely, 2^10775440 is an apocalyptic number.

10775440 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 10775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13581162).

10775440 is an abundant number, since it is smaller than the sum of its proper divisors (16386884).

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

10775440 is a wasteful number, since it uses less digits than its factorization.

10775440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 817 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 10775440 is about 3282.5965332340. The cubic root of 10775440 is about 220.8742075363.

The spelling of 10775440 in words is "ten million, seven hundred seventy-five thousand, four hundred forty".