931968000 has 264 divisors, whose sum is σ = 3362565960. Its totient is φ = 248217600.

The previous prime is 931967989. The next prime is 931968001. The reversal of 931968000 is 869139.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 931958784 = 96^2 + 30528^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (931968001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1151596 + ... + 1152404.

Almost surely, 2^931968000 is an apocalyptic number.

931968000 is a gapful number since it is divisible by the number (90) 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 931968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681282980).

931968000 is an abundant number, since it is smaller than the sum of its proper divisors (2430597960).

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

931968000 is a wasteful number, since it uses less digits than its factorization.

931968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 819 counting only the distinct ones).

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

The square root of 931968000 is about 30528.1509430231. The cubic root of 931968000 is about 976.7880404293.

The spelling of 931968000 in words is "nine hundred thirty-one million, nine hundred sixty-eight thousand".