11968000 has 160 divisors (see below), whose sum is σ = 34471008. Its totient is φ = 4096000.

The previous prime is 11967997. The next prime is 11968001. The reversal of 11968000 is 86911.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11968001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 703992 + ... + 704008.

Almost surely, 2^11968000 is an apocalyptic number.

11968000 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 11968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17235504).

11968000 is an abundant number, since it is smaller than the sum of its proper divisors (22503008).

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

11968000 is an equidigital number, since it uses as much as digits as its factorization.

11968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 11968000 is about 3459.4797296703. The cubic root of 11968000 is about 228.7391625949.

It can be divided in two parts, 11 and 968000, that multiplied together give a cube (10648000 = 220³).

The spelling of 11968000 in words is "eleven million, nine hundred sixty-eight thousand".