967872 has 42 divisors (see below), whose sum is σ = 2597404. Its totient is φ = 318080.

The previous prime is 967859. The next prime is 967873. The reversal of 967872 is 278769.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 967872.

It is not an unprimeable number, because it can be changed into a prime (967873) by changing a digit.

967872 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 5 ways as a sum of consecutive naturals, for example, 13597 + ... + 13667.

2⁹⁶⁷⁸⁷² 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 967872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298702).

967872 is an abundant number, since it is smaller than the sum of its proper divisors (1629532).

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

967872 is an equidigital number, since it uses as much as digits as its factorization.

967872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 76 counting only the distinct ones).

The product of its digits is 42336, while the sum is 39.

The square root of 967872 is about 983.8048586991. The cubic root of 967872 is about 98.9173884855.

The spelling of 967872 in words is "nine hundred sixty-seven thousand, eight hundred seventy-two".