11748960 has 144 divisors (see below), whose sum is σ = 41277600. Its totient is φ = 3041280.

The previous prime is 11748953. The next prime is 11748977. The reversal of 11748960 is 6984711.

11748960 is a `hidden beast` number, since 117 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×11748960² = 276076122163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58941 + ... + 59139.

It is an arithmetic number, because the mean of its divisors is an integer number (286650).

Almost surely, 2^11748960 is an apocalyptic number.

11748960 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 11748960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20638800).

11748960 is an abundant number, since it is smaller than the sum of its proper divisors (29528640).

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

11748960 is a wasteful number, since it uses less digits than its factorization.

11748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11748960 is about 3427.6755972525. The cubic root of 11748960 is about 227.3350896017.

The spelling of 11748960 in words is "eleven million, seven hundred forty-eight thousand, nine hundred sixty".