53034624 has 96 divisors (see below), whose sum is σ = 160711200. Its totient is φ = 16740864.

The previous prime is 53034623. The next prime is 53034637. The reversal of 53034624 is 42643035.

53034624 is a `hidden beast` number, since 5 + 3 + 0 + 34 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (53034623) 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, 20677 + ... + 23099.

It is an arithmetic number, because the mean of its divisors is an integer number (1674075).

Almost surely, 2^53034624 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 53034624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80355600).

53034624 is an abundant number, since it is smaller than the sum of its proper divisors (107676576).

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

53034624 is a wasteful number, since it uses less digits than its factorization.

53034624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 53034624 is about 7282.4874871159. The cubic root of 53034624 is about 375.7103548729.

Adding to 53034624 its reverse (42643035), we get a palindrome (95677659).

The spelling of 53034624 in words is "fifty-three million, thirty-four thousand, six hundred twenty-four".