967440 has 80 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 247296.

The previous prime is 967429. The next prime is 967441. The reversal of 967440 is 44769.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 967398 and 967407.

It is not an unprimeable number, because it can be changed into a prime (967441) by changing a digit.

967440 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 15 ways as a sum of consecutive naturals, for example, 6891 + ... + 7029.

It is an arithmetic number, because the mean of its divisors is an integer number (39060).

2⁹⁶⁷⁴⁴⁰ 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 967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

967440 is an abundant number, since it is smaller than the sum of its proper divisors (2157360).

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

967440 is a wasteful number, since it uses less digits than its factorization.

967440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 967440 is about 983.5852784584. The cubic root of 967440 is about 98.9026693659.

The spelling of 967440 in words is "nine hundred sixty-seven thousand, four hundred forty".