53539824 has 80 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 16359168.

The previous prime is 53539793. The next prime is 53539841. The reversal of 53539824 is 42893535.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148957 + ... + 149315.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^53539824 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 53539824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

53539824 is an abundant number, since it is smaller than the sum of its proper divisors (96450576).

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

53539824 is a wasteful number, since it uses less digits than its factorization.

53539824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 616 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 53539824 is about 7317.0912253436. The cubic root of 53539824 is about 376.8995738482.

The spelling of 53539824 in words is "fifty-three million, five hundred thirty-nine thousand, eight hundred twenty-four".