53632640 has 64 divisors (see below), whose sum is σ = 131016960. Its totient is φ = 20984832.

The previous prime is 53632627. The next prime is 53632643. The reversal of 53632640 is 4623635.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53632643) 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 7 ways as a sum of consecutive naturals, for example, 29189 + ... + 30971.

It is an arithmetic number, because the mean of its divisors is an integer number (2047140).

Almost surely, 2^53632640 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 53632640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65508480).

53632640 is an abundant number, since it is smaller than the sum of its proper divisors (77384320).

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

53632640 is a wasteful number, since it uses less digits than its factorization.

53632640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849 (or 1837 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 29.

The square root of 53632640 is about 7323.4308899586. The cubic root of 53632640 is about 377.1172443142.

The spelling of 53632640 in words is "fifty-three million, six hundred thirty-two thousand, six hundred forty".