8967672 has 96 divisors (see below), whose sum is σ = 28828800. Its totient is φ = 2558304.

The previous prime is 8967667. The next prime is 8967697. The reversal of 8967672 is 2767698.

It is a happy number.

8967672 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13279 + ... + 13937.

It is an arithmetic number, because the mean of its divisors is an integer number (300300).

Almost surely, 2^8967672 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 8967672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14414400).

8967672 is an abundant number, since it is smaller than the sum of its proper divisors (19861128).

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

8967672 is a wasteful number, since it uses less digits than its factorization.

8967672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 8967672 is about 2994.6071528666. The cubic root of 8967672 is about 207.7590281366.

The spelling of 8967672 in words is "eight million, nine hundred sixty-seven thousand, six hundred seventy-two".