11513964 has 96 divisors (see below), whose sum is σ = 35513856. Its totient is φ = 2810880.

The previous prime is 11513951. The next prime is 11514001. The reversal of 11513964 is 46931511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15342 + ... + 16074.

It is an arithmetic number, because the mean of its divisors is an integer number (369936).

Almost surely, 2^11513964 is an apocalyptic number.

11513964 is a gapful number since it is divisible by the number (14) 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 11513964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17756928).

11513964 is an abundant number, since it is smaller than the sum of its proper divisors (23999892).

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

11513964 is a wasteful number, since it uses less digits than its factorization.

11513964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 773 counting only the distinct ones).

The product of its digits is 3240, while the sum is 30.

The square root of 11513964 is about 3393.2232464134. The cubic root of 11513964 is about 225.8091949467.

It can be divided in two parts, 1151 and 3964, that added together give a palindrome (5115).

The spelling of 11513964 in words is "eleven million, five hundred thirteen thousand, nine hundred sixty-four".