967648 has 24 divisors (see below), whose sum is σ = 2079000. Its totient is φ = 439680.

The previous prime is 967627. The next prime is 967663. The reversal of 967648 is 846769.

967648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 967648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1023 + ... + 1726.

It is an arithmetic number, because the mean of its divisors is an integer number (86625).

2⁹⁶⁷⁶⁴⁸ is an apocalyptic number.

It is an amenable number.

967648 is an abundant number, since it is smaller than the sum of its proper divisors (1111352).

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

967648 is a wasteful number, since it uses less digits than its factorization.

967648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2762 counting only the distinct ones).

The product of its digits is 72576, while the sum is 40.

The square root of 967648 is about 983.6910083964. The cubic root of 967648 is about 98.9097568963.

It can be divided in two parts, 96 and 7648, that added together give a square (7744 = 88²).

The spelling of 967648 in words is "nine hundred sixty-seven thousand, six hundred forty-eight".