52560144 has 240 divisors, whose sum is σ = 189987840. Its totient is φ = 13789440.

The previous prime is 52560143. The next prime is 52560161. The reversal of 52560144 is 44106525.

52560144 is a `hidden beast` number, since 52 + 5 + 601 + 4 + 4 = 666.

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 Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52560143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 275089 + ... + 275279.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 2^52560144 is an apocalyptic number.

52560144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

52560144 is an abundant number, since it is smaller than the sum of its proper divisors (137427696).

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

52560144 is a wasteful number, since it uses less digits than its factorization.

52560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52560144 is about 7249.8375154206. The cubic root of 52560144 is about 374.5865523303.

Adding to 52560144 its reverse (44106525), we get a palindrome (96666669).

The spelling of 52560144 in words is "fifty-two million, five hundred sixty thousand, one hundred forty-four".