11612064 has 96 divisors (see below), whose sum is σ = 32598720. Its totient is φ = 3612672.

The previous prime is 11612057. The next prime is 11612077. The reversal of 11612064 is 46021611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 11612064.

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 15 ways as a sum of consecutive naturals, for example, 119664 + ... + 119760.

It is an arithmetic number, because the mean of its divisors is an integer number (339570).

Almost surely, 2^11612064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11612064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16299360).

11612064 is an abundant number, since it is smaller than the sum of its proper divisors (20986656).

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

11612064 is a wasteful number, since it uses less digits than its factorization.

11612064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 11612064 is about 3407.6478691320. The cubic root of 11612064 is about 226.4486870199.

Adding to 11612064 its reverse (46021611), we get a palindrome (57633675).

It can be divided in two parts, 1161 and 2064, that multiplied together give a square (2396304 = 1548²).

The spelling of 11612064 in words is "eleven million, six hundred twelve thousand, sixty-four".