53659872 has 144 divisors (see below), whose sum is σ = 178738560. Its totient is φ = 14950656.

The previous prime is 53659867. The next prime is 53659877. The reversal of 53659872 is 27895635.

It is a happy number.

53659872 is a `hidden beast` number, since 53 + 6 + 598 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (53659867) and next prime (53659877).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53659877) 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 23 ways as a sum of consecutive naturals, for example, 86379 + ... + 86997.

It is an arithmetic number, because the mean of its divisors is an integer number (1241240).

Almost surely, 2^53659872 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 53659872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89369280).

53659872 is an abundant number, since it is smaller than the sum of its proper divisors (125078688).

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

53659872 is a wasteful number, since it uses less digits than its factorization.

53659872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 674 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 53659872 is about 7325.2898918746. The cubic root of 53659872 is about 377.1810606715.

The spelling of 53659872 in words is "fifty-three million, six hundred fifty-nine thousand, eight hundred seventy-two".