53631648 has 144 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 14888448.

The previous prime is 53631647. The next prime is 53631659. The reversal of 53631648 is 84613635.

53631648 is a `hidden beast` number, since 5 + 3 + 6 + 3 + 1 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53631647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 74233 + ... + 74951.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^53631648 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 53631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

53631648 is an abundant number, since it is smaller than the sum of its proper divisors (125631072).

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

53631648 is a wasteful number, since it uses less digits than its factorization.

53631648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 768 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 53631648 is about 7323.3631618267. The cubic root of 53631648 is about 377.1149192213.

The spelling of 53631648 in words is "fifty-three million, six hundred thirty-one thousand, six hundred forty-eight".