53686944 has 72 divisors (see below), whose sum is σ = 153945792. Its totient is φ = 17746560.

The previous prime is 53686939. The next prime is 53686949. The reversal of 53686944 is 44968635.

It is an interprime number because it is at equal distance from previous prime (53686939) and next prime (53686949).

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 53686944.

It is not an unprimeable number, because it can be changed into a prime (53686949) 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 11 ways as a sum of consecutive naturals, for example, 37017 + ... + 38439.

It is an arithmetic number, because the mean of its divisors is an integer number (2138136).

Almost surely, 2^53686944 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 53686944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76972896).

53686944 is an abundant number, since it is smaller than the sum of its proper divisors (100258848).

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

53686944 is a wasteful number, since it uses less digits than its factorization.

53686944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1570 (or 1559 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 53686944 is about 7327.1375038278. The cubic root of 53686944 is about 377.2444806821.

The spelling of 53686944 in words is "fifty-three million, six hundred eighty-six thousand, nine hundred forty-four".