11543680 has 64 divisors (see below), whose sum is σ = 29247480. Its totient is φ = 4341760.

The previous prime is 11543657. The next prime is 11543681. The reversal of 11543680 is 8634511.

It can be written as a sum of positive squares in 4 ways, for example, as 10916416 + 627264 = 3304^2 + 792^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11543681) 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, 10350 + ... + 11410.

Almost surely, 2^11543680 is an apocalyptic number.

11543680 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 11543680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14623740).

11543680 is an abundant number, since it is smaller than the sum of its proper divisors (17703800).

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

11543680 is a wasteful number, since it uses less digits than its factorization.

11543680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1097 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 11543680 is about 3397.5991523427. The cubic root of 11543680 is about 226.0032891682.

The spelling of 11543680 in words is "eleven million, five hundred forty-three thousand, six hundred eighty".