968544 has 96 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 300672.

The previous prime is 968537. The next prime is 968557. The reversal of 968544 is 445869.

968544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 968499 and 968508.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 968544.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16387 + ... + 16445.

It is an arithmetic number, because the mean of its divisors is an integer number (31500).

968544 is a Friedman number, since it can be written as 59*4*(8+4^6), using all its digits and the basic arithmetic operations.

2⁹⁶⁸⁵⁴⁴ 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 968544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

968544 is an abundant number, since it is smaller than the sum of its proper divisors (2055456).

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

968544 is a wasteful number, since it uses less digits than its factorization.

968544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 968544 is about 984.1463305830. The cubic root of 968544 is about 98.9402761907.

The spelling of 968544 in words is "nine hundred sixty-eight thousand, five hundred forty-four".