11997768 has 64 divisors (see below), whose sum is σ = 31464000. Its totient is φ = 3808512.

The previous prime is 11997751. The next prime is 11997787. The reversal of 11997768 is 86779911.

It is a happy 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, 52278 + ... + 52506.

It is an arithmetic number, because the mean of its divisors is an integer number (491625).

Almost surely, 2^11997768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11997768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732000).

11997768 is an abundant number, since it is smaller than the sum of its proper divisors (19466232).

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

11997768 is a wasteful number, since it uses less digits than its factorization.

11997768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 330 counting only the distinct ones).

The product of its digits is 190512, while the sum is 48.

The square root of 11997768 is about 3463.7794387056. The cubic root of 11997768 is about 228.9286531739.

The spelling of 11997768 in words is "eleven million, nine hundred ninety-seven thousand, seven hundred sixty-eight".