53601680 has 80 divisors (see below), whose sum is σ = 143990784. Its totient is φ = 18339840.

The previous prime is 53601659. The next prime is 53601683. The reversal of 53601680 is 8610635.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (53601683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13169 + ... + 16751.

Almost surely, 2^53601680 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 53601680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71995392).

53601680 is an abundant number, since it is smaller than the sum of its proper divisors (90389104).

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

53601680 is a wasteful number, since it uses less digits than its factorization.

53601680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 53601680 is about 7321.3168214468. The cubic root of 53601680 is about 377.0446653945.

The spelling of 53601680 in words is "fifty-three million, six hundred one thousand, six hundred eighty".