967608 has 48 divisors (see below), whose sum is σ = 2667600. Its totient is φ = 316800.

The previous prime is 967607. The next prime is 967627. The reversal of 967608 is 806769.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (967607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6333 + ... + 6483.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2⁹⁶⁷⁶⁰⁸ 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 967608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333800).

967608 is an abundant number, since it is smaller than the sum of its proper divisors (1699992).

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

967608 is a wasteful number, since it uses less digits than its factorization.

967608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 967608 is about 983.6706765986. The cubic root of 967608 is about 98.9083939885.

The spelling of 967608 in words is "nine hundred sixty-seven thousand, six hundred eight".