11465856 has 96 divisors (see below), whose sum is σ = 34011900. Its totient is φ = 3704832.

The previous prime is 11465849. The next prime is 11465863. The reversal of 11465856 is 65856411.

It is an interprime number because it is at equal distance from previous prime (11465849) and next prime (11465863).

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 14400 = 3384^2 + 120^2 .

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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11465856.

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 11 ways as a sum of consecutive naturals, for example, 42490 + ... + 42758.

Almost surely, 2^11465856 is an apocalyptic number.

11465856 is a gapful number since it is divisible by the number (16) 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 11465856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17005950).

11465856 is an abundant number, since it is smaller than the sum of its proper divisors (22546044).

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

11465856 is a wasteful number, since it uses less digits than its factorization.

11465856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 311 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 11465856 is about 3386.1269911213. The cubic root of 11465856 is about 225.4942615997.

It can be divided in two parts, 11465 and 856, that added together give a palindrome (12321).

The spelling of 11465856 in words is "eleven million, four hundred sixty-five thousand, eight hundred fifty-six".