11935968 has 96 divisors (see below), whose sum is σ = 34836480. Its totient is φ = 3548160.

The previous prime is 11935967. The next prime is 11935993. The reversal of 11935968 is 86953911.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

Its product of digits (58320) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11935967) 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, 93921 + ... + 94047.

It is an arithmetic number, because the mean of its divisors is an integer number (362880).

Almost surely, 2^11935968 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 11935968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

11935968 is an abundant number, since it is smaller than the sum of its proper divisors (22900512).

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

11935968 is a wasteful number, since it uses less digits than its factorization.

11935968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its digits is 58320, while the sum is 42.

The square root of 11935968 is about 3454.8470298987. The cubic root of 11935968 is about 228.5349090464.

The spelling of 11935968 in words is "eleven million, nine hundred thirty-five thousand, nine hundred sixty-eight".