11575680 has 64 divisors (see below), whose sum is σ = 36903600. Its totient is φ = 3086336.

The previous prime is 11575651. The next prime is 11575687. The reversal of 11575680 is 8657511.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11575687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095 + ... + 4934.

Almost surely, 2^11575680 is an apocalyptic number.

11575680 is a gapful number since it is divisible by the number (10) 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 11575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18451800).

11575680 is an abundant number, since it is smaller than the sum of its proper divisors (25327920).

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

11575680 is an equidigital number, since it uses as much as digits as its factorization.

11575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6039 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 11575680 is about 3402.3051009573. The cubic root of 11575680 is about 226.2119295344.

The spelling of 11575680 in words is "eleven million, five hundred seventy-five thousand, six hundred eighty".