11575360 has 56 divisors (see below), whose sum is σ = 28062936. Its totient is φ = 4546560.

The previous prime is 11575357. The next prime is 11575397. The reversal of 11575360 is 6357511.

It can be written as a sum of positive squares in 4 ways, for example, as 69696 + 11505664 = 264^2 + 3392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19224 + ... + 19816.

Almost surely, 2^11575360 is an apocalyptic number.

11575360 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 11575360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14031468).

11575360 is an abundant number, since it is smaller than the sum of its proper divisors (16487576).

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

11575360 is an equidigital number, since it uses as much as digits as its factorization.

11575360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 11575360 is about 3402.2580736916. The cubic root of 11575360 is about 226.2098450353.

It can be divided in two parts, 11575 and 360, that added together give a triangular number (11935 = T₁₅₄).

The spelling of 11575360 in words is "eleven million, five hundred seventy-five thousand, three hundred sixty".