10775040 has 160 divisors (see below), whose sum is σ = 36533376. Its totient is φ = 2703360.

The previous prime is 10775027. The next prime is 10775041. The reversal of 10775040 is 4057701.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×10775040² = 232202974003200, which contains 22 as substring.

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 10775040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10775041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176610 + ... + 176670.

Almost surely, 2^10775040 is an apocalyptic number.

10775040 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 10775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18266688).

10775040 is an abundant number, since it is smaller than the sum of its proper divisors (25758336).

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

10775040 is an equidigital number, since it uses as much as digits as its factorization.

10775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 10775040 is about 3282.5356052905. The cubic root of 10775040 is about 220.8714744453.

The spelling of 10775040 in words is "ten million, seven hundred seventy-five thousand, forty".