53937664 has 80 divisors (see below), whose sum is σ = 120255696. Its totient is φ = 23961600.

The previous prime is 53937661. The next prime is 53937677. The reversal of 53937664 is 46673935.

It is a self number, because there is not a number n which added to its sum of digits gives 53937664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53937661) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 343474 + ... + 343630.

Almost surely, 2^53937664 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 53937664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60127848).

53937664 is an abundant number, since it is smaller than the sum of its proper divisors (66318032).

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

53937664 is a wasteful number, since it uses less digits than its factorization.

53937664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 231 counting only the distinct ones).

The product of its digits is 408240, while the sum is 43.

The square root of 53937664 is about 7344.2265760256. The cubic root of 53937664 is about 377.8308174152.

The spelling of 53937664 in words is "fifty-three million, nine hundred thirty-seven thousand, six hundred sixty-four".