967640 has 32 divisors (see below), whose sum is σ = 2306880. Its totient is φ = 364032.

The previous prime is 967627. The next prime is 967663. The reversal of 967640 is 46769.

It is a junction number, because it is equal to n+sod(n) for n = 967597 and 967606.

It is a congruent number.

It is an unprimeable number.

967640 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 32 + ... + 1391.

It is an arithmetic number, because the mean of its divisors is an integer number (72090).

2⁹⁶⁷⁶⁴⁰ 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 967640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153440).

967640 is an abundant number, since it is smaller than the sum of its proper divisors (1339240).

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

967640 is a wasteful number, since it uses less digits than its factorization.

967640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 32.

The square root of 967640 is about 983.6869420705. The cubic root of 967640 is about 98.9094843177.

The spelling of 967640 in words is "nine hundred sixty-seven thousand, six hundred forty".