11531760 has 40 divisors (see below), whose sum is σ = 35749200. Its totient is φ = 3075072.

The previous prime is 11531759. The next prime is 11531791. The reversal of 11531760 is 6713511.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 11531760.

It is a congruent number.

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, 23785 + ... + 24264.

It is an arithmetic number, because the mean of its divisors is an integer number (893730).

Almost surely, 2^11531760 is an apocalyptic number.

11531760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11531760 is an abundant number, since it is smaller than the sum of its proper divisors (24217440).

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

11531760 is a wasteful number, since it uses less digits than its factorization.

11531760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48065 (or 48059 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 11531760 is about 3395.8445194090. The cubic root of 11531760 is about 225.9254720712.

The spelling of 11531760 in words is "eleven million, five hundred thirty-one thousand, seven hundred sixty".