53268096 has 192 divisors, whose sum is σ = 174420000. Its totient is φ = 14321664.

The previous prime is 53268079. The next prime is 53268097. The reversal of 53268096 is 69086235.

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 (53268097) 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, 357430 + ... + 357578.

Almost surely, 2^53268096 is an apocalyptic number.

53268096 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 53268096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87210000).

53268096 is an abundant number, since it is smaller than the sum of its proper divisors (121151904).

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

53268096 is a wasteful number, since it uses less digits than its factorization.

53268096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 53268096 is about 7298.4995718298. The cubic root of 53268096 is about 376.2608722295.

The spelling of 53268096 in words is "fifty-three million, two hundred sixty-eight thousand, ninety-six".