53948160 has 288 divisors, whose sum is σ = 219770880. Its totient is φ = 12275712.

The previous prime is 53948159. The next prime is 53948171. The reversal of 53948160 is 6184935.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241809 + ... + 242031.

Almost surely, 2^53948160 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 53948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109885440).

53948160 is an abundant number, since it is smaller than the sum of its proper divisors (165822720).

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

53948160 is a wasteful number, since it uses less digits than its factorization.

53948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53948160 is about 7344.9411161697. The cubic root of 53948160 is about 377.8553238222.

The spelling of 53948160 in words is "fifty-three million, nine hundred forty-eight thousand, one hundred sixty".