8131968 has 128 divisors (see below), whose sum is σ = 25989600. Its totient is φ = 2488320.

The previous prime is 8131961. The next prime is 8131969. The reversal of 8131968 is 8691318.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×8131968² = 132257807106048, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 8131968 = 94³ + 194³ = 132³ + 180³.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8131961) 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, 44838 + ... + 45018.

Almost surely, 2^8131968 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 8131968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994800).

8131968 is an abundant number, since it is smaller than the sum of its proper divisors (17857632).

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

8131968 is a wasteful number, since it uses less digits than its factorization.

8131968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 199 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 8131968 is about 2851.6605688616. The cubic root of 8131968 is about 201.0937410821.

The spelling of 8131968 in words is "eight million, one hundred thirty-one thousand, nine hundred sixty-eight".