8379144 has 48 divisors (see below), whose sum is σ = 23481900. Its totient is φ = 2696064.

The previous prime is 8379127. The next prime is 8379149. The reversal of 8379144 is 4419738.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8054244 + 324900 = 2838^2 + 570^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8379099 and 8379108.

It is not an unprimeable number, because it can be changed into a prime (8379149) 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, 82 + ... + 4094.

Almost surely, 2^8379144 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 8379144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11740950).

8379144 is an abundant number, since it is smaller than the sum of its proper divisors (15102756).

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

8379144 is a wasteful number, since it uses less digits than its factorization.

8379144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4054 (or 4047 counting only the distinct ones).

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

The square root of 8379144 is about 2894.6751113035. The cubic root of 8379144 is about 203.1108941368.

The spelling of 8379144 in words is "eight million, three hundred seventy-nine thousand, one hundred forty-four".