967672 has 32 divisors (see below), whose sum is σ = 1940400. Its totient is φ = 451584.

The previous prime is 967667. The next prime is 967693. The reversal of 967672 is 276769.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9928 + ... + 10024.

2⁹⁶⁷⁶⁷² is an apocalyptic number.

It is an amenable number.

967672 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

967672 is a wasteful number, since it uses less digits than its factorization.

967672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 171 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 967672 is about 983.7032072734. The cubic root of 967672 is about 98.9105746229.

It can be divided in two parts, 96767 and 2, that added together give a palindrome (96769).

The spelling of 967672 in words is "nine hundred sixty-seven thousand, six hundred seventy-two".