11731968 has 132 divisors (see below), whose sum is σ = 36190960. Its totient is φ = 3649536.

The previous prime is 11731963. The next prime is 11732003. The reversal of 11731968 is 86913711.

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

Its product of digits (9072) is a multiple of the sum of its prime factors (112).

It is not an unprimeable number, because it can be changed into a prime (11731961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175071 + ... + 175137.

Almost surely, 2^11731968 is an apocalyptic number.

11731968 is a gapful number since it is divisible by the number (18) 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 11731968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18095480).

11731968 is an abundant number, since it is smaller than the sum of its proper divisors (24458992).

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

11731968 is a wasteful number, since it uses less digits than its factorization.

11731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 91 counting only the distinct ones).

The product of its digits is 9072, while the sum is 36.

The square root of 11731968 is about 3425.1960527830. The cubic root of 11731968 is about 227.2254418378.

The spelling of 11731968 in words is "eleven million, seven hundred thirty-one thousand, nine hundred sixty-eight".