11566464 has 128 divisors (see below), whose sum is σ = 37927680. Its totient is φ = 3041280.

The previous prime is 11566463. The next prime is 11566483. The reversal of 11566464 is 46466511.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11566463) 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, 34779 + ... + 35109.

It is an arithmetic number, because the mean of its divisors is an integer number (296310).

Almost surely, 2^11566464 is an apocalyptic number.

11566464 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 11566464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18963840).

11566464 is an abundant number, since it is smaller than the sum of its proper divisors (26361216).

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

11566464 is a wasteful number, since it uses less digits than its factorization.

11566464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 356 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 11566464 is about 3400.9504553874. The cubic root of 11566464 is about 226.1518805740.

The spelling of 11566464 in words is "eleven million, five hundred sixty-six thousand, four hundred sixty-four".