53329824 has 144 divisors (see below), whose sum is σ = 161808192. Its totient is φ = 16625664.

The previous prime is 53329823. The next prime is 53329831. The reversal of 53329824 is 42892335.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (53329823) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549744 + ... + 549840.

It is an arithmetic number, because the mean of its divisors is an integer number (1123668).

Almost surely, 2^53329824 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 53329824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80904096).

53329824 is an abundant number, since it is smaller than the sum of its proper divisors (108478368).

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

53329824 is a wasteful number, since it uses less digits than its factorization.

53329824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 208 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 53329824 is about 7302.7271618211. The cubic root of 53329824 is about 376.4061553486.

The spelling of 53329824 in words is "fifty-three million, three hundred twenty-nine thousand, eight hundred twenty-four".