11264540 has 48 divisors (see below), whose sum is σ = 28631232. Its totient is φ = 3634176.

The previous prime is 11264521. The next prime is 11264579. The reversal of 11264540 is 4546211.

11264540 = 806² + 807² + ... + 822².

11264540 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11264540² = 253779722823200, which contains 22 as substring.

11264540 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14 + ... + 4746.

It is an arithmetic number, because the mean of its divisors is an integer number (596484).

Almost surely, 2^11264540 is an apocalyptic number.

11264540 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 11264540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14315616).

11264540 is an abundant number, since it is smaller than the sum of its proper divisors (17366692).

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

11264540 is a wasteful number, since it uses less digits than its factorization.

11264540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4766 (or 4764 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 11264540 is about 3356.2687615863. The cubic root of 11264540 is about 224.1667285477.

The spelling of 11264540 in words is "eleven million, two hundred sixty-four thousand, five hundred forty".