11495760 has 80 divisors (see below), whose sum is σ = 37527360. Its totient is φ = 2903040.

The previous prime is 11495713. The next prime is 11495773. The reversal of 11495760 is 6759411.

11495760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3300 + ... + 5820.

It is an arithmetic number, because the mean of its divisors is an integer number (469092).

Almost surely, 2^11495760 is an apocalyptic number.

11495760 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 11495760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18763680).

11495760 is an abundant number, since it is smaller than the sum of its proper divisors (26031600).

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

11495760 is a wasteful number, since it uses less digits than its factorization.

11495760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2556 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 11495760 is about 3390.5397800350. The cubic root of 11495760 is about 225.6901279644.

The spelling of 11495760 in words is "eleven million, four hundred ninety-five thousand, seven hundred sixty".