11164240 has 40 divisors (see below), whose sum is σ = 27487080. Its totient is φ = 4202496.

The previous prime is 11164211. The next prime is 11164243. The reversal of 11164240 is 4246111.

It can be written as a sum of positive squares in 4 ways, for example, as 484416 + 10679824 = 696^2 + 3268^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11164243) 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, 2745 + ... + 5464.

It is an arithmetic number, because the mean of its divisors is an integer number (687177).

Almost surely, 2^11164240 is an apocalyptic number.

11164240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11164240 is an abundant number, since it is smaller than the sum of its proper divisors (16322840).

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

11164240 is a wasteful number, since it uses less digits than its factorization.

11164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8239 (or 8233 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 11164240 is about 3341.2931628338. The cubic root of 11164240 is about 223.4994136051.

It can be divided in two parts, 1116 and 4240, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 11164240 in words is "eleven million, one hundred sixty-four thousand, two hundred forty".