53947584 has 84 divisors (see below), whose sum is σ = 156871416. Its totient is φ = 17722368.

The previous prime is 53947583. The next prime is 53947601. The reversal of 53947584 is 48574935.

It is not an unprimeable number, because it can be changed into a prime (53947583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41407 + ... + 42689.

Almost surely, 2^53947584 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 53947584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78435708).

53947584 is an abundant number, since it is smaller than the sum of its proper divisors (102923832).

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

53947584 is a wasteful number, since it uses less digits than its factorization.

53947584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1361 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 53947584 is about 7344.9019054035. The cubic root of 53947584 is about 377.8539790409.

The spelling of 53947584 in words is "fifty-three million, nine hundred forty-seven thousand, five hundred eighty-four".