4092144 has 80 divisors (see below), whose sum is σ = 12737280. Its totient is φ = 1105920.

The previous prime is 4092133. The next prime is 4092157. The reversal of 4092144 is 4412904.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6064 + ... + 6704.

It is an arithmetic number, because the mean of its divisors is an integer number (159216).

Almost surely, 2^4092144 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 4092144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6368640).

4092144 is an abundant number, since it is smaller than the sum of its proper divisors (8645136).

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

4092144 is a wasteful number, since it uses less digits than its factorization.

4092144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4092144 is about 2022.9048420526. The cubic root of 4092144 is about 159.9497759029.

The spelling of 4092144 in words is "four million, ninety-two thousand, one hundred forty-four".