4089672 has 48 divisors (see below), whose sum is σ = 11232000. Its totient is φ = 1344096.

The previous prime is 4089643. The next prime is 4089677. The reversal of 4089672 is 2769804.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4089677) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5329 + ... + 6047.

It is an arithmetic number, because the mean of its divisors is an integer number (234000).

Almost surely, 2^4089672 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 4089672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5616000).

4089672 is an abundant number, since it is smaller than the sum of its proper divisors (7142328).

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

4089672 is a wasteful number, since it uses less digits than its factorization.

4089672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 4089672 is about 2022.2937472088. The cubic root of 4089672 is about 159.9175616985.

It can be divided in two parts, 4089 and 672, that added together give a square (4761 = 69²).

The spelling of 4089672 in words is "four million, eighty-nine thousand, six hundred seventy-two".