53544960 has 288 divisors, whose sum is σ = 214643520. Its totient is φ = 12091392.

The previous prime is 53544949. The next prime is 53544973. The reversal of 53544960 is 6944535.

It is a happy number.

53544960 is a `hidden beast` number, since 53 + 544 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 645079 + ... + 645161.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^53544960 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 53544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107321760).

53544960 is an abundant number, since it is smaller than the sum of its proper divisors (161098560).

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

53544960 is a wasteful number, since it uses less digits than its factorization.

53544960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 53544960 is about 7317.4421760612. The cubic root of 53544960 is about 376.9116252782.

The spelling of 53544960 in words is "fifty-three million, five hundred forty-four thousand, nine hundred sixty".