53362320 has 320 divisors, whose sum is σ = 202487040. Its totient is φ = 11468800.

The previous prime is 53362301. The next prime is 53362321. The reversal of 53362320 is 2326335.

53362320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (53362321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1301500 + ... + 1301540.

It is an arithmetic number, because the mean of its divisors is an integer number (632772).

Almost surely, 2^53362320 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 53362320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101243520).

53362320 is an abundant number, since it is smaller than the sum of its proper divisors (149124720).

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

53362320 is a wasteful number, since it uses less digits than its factorization.

53362320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 53362320 is about 7304.9517452205. The cubic root of 53362320 is about 376.4825929459.

Adding to 53362320 its reverse (2326335), we get a palindrome (55688655).

The spelling of 53362320 in words is "fifty-three million, three hundred sixty-two thousand, three hundred twenty".