936768 has 112 divisors (see below), whose sum is σ = 3072384. Its totient is φ = 245760.

The previous prime is 936739. The next prime is 936769. The reversal of 936768 is 867639.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (936769) by changing a digit.

936768 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 15 ways as a sum of consecutive naturals, for example, 22828 + ... + 22868.

It is an arithmetic number, because the mean of its divisors is an integer number (27432).

2⁹³⁶⁷⁶⁸ 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 936768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1536192).

936768 is an abundant number, since it is smaller than the sum of its proper divisors (2135616).

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

936768 is a wasteful number, since it uses less digits than its factorization.

936768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 70 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 936768 is about 967.8677595622. The cubic root of 936768 is about 97.8462116579.

The spelling of 936768 in words is "nine hundred thirty-six thousand, seven hundred sixty-eight".