53384832 has 160 divisors (see below), whose sum is σ = 167851200. Its totient is φ = 16796160.

The previous prime is 53384783. The next prime is 53384839. The reversal of 53384832 is 23848335.

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 (53384839) 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 19 ways as a sum of consecutive naturals, for example, 196857 + ... + 197127.

It is an arithmetic number, because the mean of its divisors is an integer number (1049070).

Almost surely, 2^53384832 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 53384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83925600).

53384832 is an abundant number, since it is smaller than the sum of its proper divisors (114466368).

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

53384832 is a wasteful number, since it uses less digits than its factorization.

53384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 295 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 53384832 is about 7306.4924553441. The cubic root of 53384832 is about 376.5355278294.

The spelling of 53384832 in words is "fifty-three million, three hundred eighty-four thousand, eight hundred thirty-two".