11458656 has 72 divisors (see below), whose sum is σ = 35557704. Its totient is φ = 3471360.

The previous prime is 11458651. The next prime is 11458673. The reversal of 11458656 is 65685411.

It is a tau number, because it is divible by the number of its divisors (72).

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 11458656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11458651) by changing a digit.

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, 1360 + ... + 4976.

It is an arithmetic number, because the mean of its divisors is an integer number (493857).

Almost surely, 2^11458656 is an apocalyptic number.

11458656 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 11458656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778852).

11458656 is an abundant number, since it is smaller than the sum of its proper divisors (24099048).

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

11458656 is a wasteful number, since it uses less digits than its factorization.

11458656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644 (or 3633 counting only the distinct ones).

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

The square root of 11458656 is about 3385.0636626214. The cubic root of 11458656 is about 225.4470519062.

It can be divided in two parts, 1145 and 8656, that added together give a square (9801 = 99²).

The spelling of 11458656 in words is "eleven million, four hundred fifty-eight thousand, six hundred fifty-six".