5760144 has 120 divisors (see below), whose sum is σ = 18483192. Its totient is φ = 1658880.

The previous prime is 5760137. The next prime is 5760163. The reversal of 5760144 is 4410675.

5760144 is a `hidden beast` number, since 57 + 601 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 144 + 5760000 = 12^2 + 2400^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31734 + ... + 31914.

Almost surely, 2^5760144 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 5760144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9241596).

5760144 is an abundant number, since it is smaller than the sum of its proper divisors (12723048).

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

5760144 is a wasteful number, since it uses less digits than its factorization.

5760144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5760144 is about 2400.0299998125. The cubic root of 5760144 is about 179.2576836514.

The spelling of 5760144 in words is "five million, seven hundred sixty thousand, one hundred forty-four".