53680320 has 280 divisors, whose sum is σ = 202844400. Its totient is φ = 13436928.

The previous prime is 53680307. The next prime is 53680327. The reversal of 53680320 is 2308635.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492426 + ... + 492534.

Almost surely, 2^53680320 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 53680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101422200).

53680320 is an abundant number, since it is smaller than the sum of its proper divisors (149164080).

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

53680320 is a wasteful number, since it uses less digits than its factorization.

53680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53680320 is about 7326.6854716168. The cubic root of 53680320 is about 377.2289649904.

Adding to 53680320 its reverse (2308635), we get a palindrome (55988955).

The spelling of 53680320 in words is "fifty-three million, six hundred eighty thousand, three hundred twenty".