931968 has 48 divisors (see below), whose sum is σ = 2685150. Its totient is φ = 310272.

The previous prime is 931967. The next prime is 931981. The reversal of 931968 is 869139.

It can be written as a sum of positive squares in only one way, i.e., 627264 + 304704 = 792^2 + 552^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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 not an unprimeable number, because it can be changed into a prime (931967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 748 + ... + 1556.

2⁹³¹⁹⁶⁸ 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 931968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342575).

931968 is an abundant number, since it is smaller than the sum of its proper divisors (1753182).

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

931968 is a wasteful number, since it uses less digits than its factorization.

931968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 814 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 931968 is about 965.3848973337. The cubic root of 931968 is about 97.6788040429.

The spelling of 931968 in words is "nine hundred thirty-one thousand, nine hundred sixty-eight".