53793600 has 168 divisors, whose sum is σ = 201826368. Its totient is φ = 12288000.

The previous prime is 53793557. The next prime is 53793601. The reversal of 53793600 is 639735.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53793601) 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, 32800 + ... + 34400.

Almost surely, 2^53793600 is an apocalyptic number.

53793600 is a gapful number since it is divisible by the number (50) 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 53793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100913184).

53793600 is an abundant number, since it is smaller than the sum of its proper divisors (148032768).

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

53793600 is a wasteful number, since it uses less digits than its factorization.

53793600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 53793600 is about 7334.4120418749. The cubic root of 53793600 is about 377.4941302831.

The spelling of 53793600 in words is "fifty-three million, seven hundred ninety-three thousand, six hundred".