10811520 has 96 divisors (see below), whose sum is σ = 37353420. Its totient is φ = 2881536.

The previous prime is 10811503. The next prime is 10811531. The reversal of 10811520 is 2511801.

It can be written as a sum of positive squares in 2 ways, for example, as 10810944 + 576 = 3288^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10811493 and 10811502.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4822 + ... + 6698.

Almost surely, 2^10811520 is an apocalyptic number.

10811520 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 10811520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18676710).

10811520 is an abundant number, since it is smaller than the sum of its proper divisors (26541900).

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

10811520 is a wasteful number, since it uses less digits than its factorization.

10811520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902 (or 1887 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10811520 is about 3288.0875900742. The cubic root of 10811520 is about 221.1204546629.

It can be divided in two parts, 1081 and 1520, that added together give a square (2601 = 51²).

The spelling of 10811520 in words is "ten million, eight hundred eleven thousand, five hundred twenty".