11405664 has 96 divisors (see below), whose sum is σ = 34151040. Its totient is φ = 3701376.

The previous prime is 11405663. The next prime is 11405699. The reversal of 11405664 is 46650411.

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 (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11405663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36999 + ... + 37305.

It is an arithmetic number, because the mean of its divisors is an integer number (355740).

Almost surely, 2^11405664 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 11405664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17075520).

11405664 is an abundant number, since it is smaller than the sum of its proper divisors (22745376).

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

11405664 is a wasteful number, since it uses less digits than its factorization.

11405664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 11405664 is about 3377.2272650800. The cubic root of 11405664 is about 225.0989786746.

The spelling of 11405664 in words is "eleven million, four hundred five thousand, six hundred sixty-four".