53418624 has 192 divisors, whose sum is σ = 175815360. Its totient is φ = 14278656.

The previous prime is 53418623. The next prime is 53418637. The reversal of 53418624 is 42681435.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (53418623) 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 23 ways as a sum of consecutive naturals, for example, 319789 + ... + 319955.

It is an arithmetic number, because the mean of its divisors is an integer number (915705).

Almost surely, 2^53418624 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 53418624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87907680).

53418624 is an abundant number, since it is smaller than the sum of its proper divisors (122396736).

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

53418624 is a wasteful number, since it uses less digits than its factorization.

53418624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 196 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 53418624 is about 7308.8045534136. The cubic root of 53418624 is about 376.6149586610.

The spelling of 53418624 in words is "fifty-three million, four hundred eighteen thousand, six hundred twenty-four".