53684640 has 288 divisors, whose sum is σ = 204240960. Its totient is φ = 13160448.

The previous prime is 53684629. The next prime is 53684647. The reversal of 53684640 is 4648635.

53684640 is a `hidden beast` number, since 5 + 3 + 6 + 8 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 53684595 and 53684604.

It is not an unprimeable number, because it can be changed into a prime (53684647) 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 47 ways as a sum of consecutive naturals, for example, 1248459 + ... + 1248501.

It is an arithmetic number, because the mean of its divisors is an integer number (709170).

Almost surely, 2^53684640 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 53684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102120480).

53684640 is an abundant number, since it is smaller than the sum of its proper divisors (150556320).

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

53684640 is a wasteful number, since it uses less digits than its factorization.

53684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 70 counting only the distinct ones).

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

The square root of 53684640 is about 7326.9802783957. The cubic root of 53684640 is about 377.2390840645.

The spelling of 53684640 in words is "fifty-three million, six hundred eighty-four thousand, six hundred forty".