10775520 has 144 divisors (see below), whose sum is σ = 42063840. Its totient is φ = 2460672.

The previous prime is 10775519. The next prime is 10775533. The reversal of 10775520 is 2557701.

10775520 is a `hidden beast` number, since 107 + 7 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10775520² = 232223662540800, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 9546 + ... + 10614.

It is an arithmetic number, because the mean of its divisors is an integer number (292110).

Almost surely, 2^10775520 is an apocalyptic number.

10775520 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 10775520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21031920).

10775520 is an abundant number, since it is smaller than the sum of its proper divisors (31288320).

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

10775520 is a wasteful number, since it uses less digits than its factorization.

10775520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1097 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10775520 is about 3282.6087186870. The cubic root of 10775520 is about 220.8747541464.

The spelling of 10775520 in words is "ten million, seven hundred seventy-five thousand, five hundred twenty".