913968 has 60 divisors (see below), whose sum is σ = 2795208. Its totient is φ = 276480.

The previous prime is 913943. The next prime is 913981. The reversal of 913968 is 869319.

913968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 an unprimeable number.

913968 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1296 + ... + 1872.

2⁹¹³⁹⁶⁸ 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 913968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397604).

913968 is an abundant number, since it is smaller than the sum of its proper divisors (1881240).

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

913968 is a wasteful number, since it uses less digits than its factorization.

913968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 593 counting only the distinct ones).

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

The square root of 913968 is about 956.0167362552. The cubic root of 913968 is about 97.0458563782.

It can be divided in two parts, 913 and 968, that added together give a palindrome (1881).

The spelling of 913968 in words is "nine hundred thirteen thousand, nine hundred sixty-eight".