11577664 has 56 divisors (see below), whose sum is σ = 26911808. Its totient is φ = 4838400.

The previous prime is 11577661. The next prime is 11577673. The reversal of 11577664 is 46677511.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11577661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18964 + ... + 19564.

It is an arithmetic number, because the mean of its divisors is an integer number (480568).

Almost surely, 2^11577664 is an apocalyptic number.

11577664 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 11577664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13455904).

11577664 is an abundant number, since it is smaller than the sum of its proper divisors (15334144).

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

11577664 is an equidigital number, since it uses as much as digits as its factorization.

11577664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its digits is 35280, while the sum is 37.

The square root of 11577664 is about 3402.5966554971. The cubic root of 11577664 is about 226.2248525716.

The spelling of 11577664 in words is "eleven million, five hundred seventy-seven thousand, six hundred sixty-four".