53204832 has 72 divisors (see below), whose sum is σ = 160216056. Its totient is φ = 16690176.

The previous prime is 53204831. The next prime is 53204857. The reversal of 53204832 is 23840235.

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

It is a junction number, because it is equal to n+sod(n) for n = 53204796 and 53204805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53204831) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 538 + ... + 10329.

It is an arithmetic number, because the mean of its divisors is an integer number (2225223).

Almost surely, 2^53204832 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 53204832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80108028).

53204832 is an abundant number, since it is smaller than the sum of its proper divisors (107011224).

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

53204832 is a wasteful number, since it uses less digits than its factorization.

53204832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10900 (or 10889 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53204832 is about 7294.1642427354. The cubic root of 53204832 is about 376.1118574698. Note that the first 3 decimals are identical.

The spelling of 53204832 in words is "fifty-three million, two hundred four thousand, eight hundred thirty-two".