53548160 has 64 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 20720640.

The previous prime is 53548133. The next prime is 53548169. The reversal of 53548160 is 6184535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (53548169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18491 + ... + 21189.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2^53548160 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 53548160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

53548160 is an abundant number, since it is smaller than the sum of its proper divisors (78643840).

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

53548160 is a wasteful number, since it uses less digits than its factorization.

53548160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2749 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 53548160 is about 7317.6608284342. The cubic root of 53548160 is about 376.9191335676.

The spelling of 53548160 in words is "fifty-three million, five hundred forty-eight thousand, one hundred sixty".