53947520 has 128 divisors (see below), whose sum is σ = 143942400. Its totient is φ = 19169280.

The previous prime is 53947519. The next prime is 53947541. The reversal of 53947520 is 2574935.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 556112 + ... + 556208.

It is an arithmetic number, because the mean of its divisors is an integer number (1124550).

Almost surely, 2^53947520 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 53947520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71971200).

53947520 is an abundant number, since it is smaller than the sum of its proper divisors (89994880).

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

53947520 is a wasteful number, since it uses less digits than its factorization.

53947520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 35.

The square root of 53947520 is about 7344.8975486388. The cubic root of 53947520 is about 377.8538296201.

The spelling of 53947520 in words is "fifty-three million, nine hundred forty-seven thousand, five hundred twenty".