11816960 has 52 divisors (see below), whose sum is σ = 28406388. Its totient is φ = 4718592.

The previous prime is 11816951. The next prime is 11816977. The reversal of 11816960 is 6961811.

It can be written as a sum of positive squares in 2 ways, for example, as 9048064 + 2768896 = 3008^2 + 1664^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20192 + ... + 20768.

Almost surely, 2^11816960 is an apocalyptic number.

11816960 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 11816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14203194).

11816960 is an abundant number, since it is smaller than the sum of its proper divisors (16589428).

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

11816960 is an frugal number, since it uses more digits than its factorization.

11816960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The square root of 11816960 is about 3437.5805445109. The cubic root of 11816960 is about 227.7728321133.

The spelling of 11816960 in words is "eleven million, eight hundred sixteen thousand, nine hundred sixty".