53648640 has 108 divisors (see below), whose sum is σ = 185658564. Its totient is φ = 14303232.

The previous prime is 53648633. The next prime is 53648657. The reversal of 53648640 is 4684635.

53648640 is a `hidden beast` number, since 5 + 3 + 6 + 4 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12278016 + 41370624 = 3504^2 + 6432^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 53648595 and 53648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9192 + ... + 13848.

Almost surely, 2^53648640 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 53648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92829282).

53648640 is an abundant number, since it is smaller than the sum of its proper divisors (132009924).

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

53648640 is a wasteful number, since it uses less digits than its factorization.

53648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4684 (or 4667 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 53648640 is about 7324.5231926727. The cubic root of 53648640 is about 377.1547418529.

The spelling of 53648640 in words is "fifty-three million, six hundred forty-eight thousand, six hundred forty".