53947648 has 36 divisors (see below), whose sum is σ = 108168480. Its totient is φ = 26852864.

The previous prime is 53947639. The next prime is 53947651. The reversal of 53947648 is 84674935.

It is a junction number, because it is equal to n+sod(n) for n = 53947598 and 53947607.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 91611 + ... + 92197.

It is an arithmetic number, because the mean of its divisors is an integer number (3004680).

Almost surely, 2^53947648 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 53947648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54084240).

53947648 is an abundant number, since it is smaller than the sum of its proper divisors (54220832).

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

53947648 is an equidigital number, since it uses as much as digits as its factorization.

53947648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 948 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 53947648 is about 7344.9062621656. The cubic root of 53947648 is about 377.8541284615.

The spelling of 53947648 in words is "fifty-three million, nine hundred forty-seven thousand, six hundred forty-eight".