53624384 has 84 divisors (see below), whose sum is σ = 123096528. Its totient is φ = 22982400.

The previous prime is 53624381. The next prime is 53624387. The reversal of 53624384 is 48342635.

It is an interprime number because it is at equal distance from previous prime (53624381) and next prime (53624387).

It is not an unprimeable number, because it can be changed into a prime (53624381) 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 11 ways as a sum of consecutive naturals, for example, 254039 + ... + 254249.

Almost surely, 2^53624384 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 53624384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61548264).

53624384 is an abundant number, since it is smaller than the sum of its proper divisors (69472144).

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

53624384 is a wasteful number, since it uses less digits than its factorization.

53624384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 243 counting only the distinct ones).

The product of its digits is 69120, while the sum is 35.

The square root of 53624384 is about 7322.8671980311. The cubic root of 53624384 is about 377.0978926673.

The spelling of 53624384 in words is "fifty-three million, six hundred twenty-four thousand, three hundred eighty-four".