8667144 has 96 divisors (see below), whose sum is σ = 25454520. Its totient is φ = 2654208.

The previous prime is 8667137. The next prime is 8667151. The reversal of 8667144 is 4417668.

It is an interprime number because it is at equal distance from previous prime (8667137) and next prime (8667151).

It can be written as a sum of positive squares in 4 ways, for example, as 8191044 + 476100 = 2862^2 + 690^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (32256) is a multiple of the sum of its prime divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 8667099 and 8667108.

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, 89304 + ... + 89400.

Almost surely, 2^8667144 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 8667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12727260).

8667144 is an abundant number, since it is smaller than the sum of its proper divisors (16787376).

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

8667144 is a wasteful number, since it uses less digits than its factorization.

8667144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 192 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 8667144 is about 2944.0013586953. The cubic root of 8667144 is about 205.4117759360.

The spelling of 8667144 in words is "eight million, six hundred sixty-seven thousand, one hundred forty-four".