53688096 has 240 divisors, whose sum is σ = 197588160. Its totient is φ = 13893120.

The previous prime is 53688083. The next prime is 53688121. The reversal of 53688096 is 69088635.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199450 + ... + 199718.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 2^53688096 is an apocalyptic number.

53688096 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 53688096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98794080).

53688096 is an abundant number, since it is smaller than the sum of its proper divisors (143900064).

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

53688096 is a wasteful number, since it uses less digits than its factorization.

53688096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 53688096 is about 7327.2161152787. The cubic root of 53688096 is about 377.2471789330.

The spelling of 53688096 in words is "fifty-three million, six hundred eighty-eight thousand, ninety-six".