53184096 has 288 divisors, whose sum is σ = 191213568. Its totient is φ = 13685760.

The previous prime is 53184083. The next prime is 53184149. The reversal of 53184096 is 69048135.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 53184096.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1437390 + ... + 1437426.

It is an arithmetic number, because the mean of its divisors is an integer number (663936).

Almost surely, 2^53184096 is an apocalyptic number.

53184096 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53184096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95606784).

53184096 is an abundant number, since it is smaller than the sum of its proper divisors (138029472).

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

53184096 is a wasteful number, since it uses less digits than its factorization.

53184096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 53184096 is about 7292.7426939390. The cubic root of 53184096 is about 376.0629892962.

The spelling of 53184096 in words is "fifty-three million, one hundred eighty-four thousand, ninety-six".