967008 has 48 divisors (see below), whose sum is σ = 2903040. Its totient is φ = 276096.

The previous prime is 967003. The next prime is 967019. The reversal of 967008 is 800769.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967003) by changing a digit.

967008 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 7 ways as a sum of consecutive naturals, for example, 48 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (60480).

2⁹⁶⁷⁰⁰⁸ 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 967008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451520).

967008 is an abundant number, since it is smaller than the sum of its proper divisors (1936032).

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

967008 is a wasteful number, since it uses less digits than its factorization.

967008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 967008 is about 983.3656491865. The cubic root of 967008 is about 98.8879458639.

The spelling of 967008 in words is "nine hundred sixty-seven thousand, eight".