7998144 has 112 divisors (see below), whose sum is σ = 26432256. Its totient is φ = 2073600.

The previous prime is 7998139. The next prime is 7998167. The reversal of 7998144 is 4418997.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 7998096 and 7998105.

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, 14514 + ... + 15054.

Almost surely, 2^7998144 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 7998144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13216128).

7998144 is an abundant number, since it is smaller than the sum of its proper divisors (18434112).

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

7998144 is a wasteful number, since it uses less digits than its factorization.

7998144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 564 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 7998144 is about 2828.0990081679. The cubic root of 7998144 is about 199.9845321371.

It can be divided in two parts, 799 and 8144, that multiplied together give a palindrome (6507056).

The spelling of 7998144 in words is "seven million, nine hundred ninety-eight thousand, one hundred forty-four".