53640 has 48 divisors (see below), whose sum is σ = 175500. Its totient is φ = 14208.

The previous prime is 53639. The next prime is 53653. The reversal of 53640 is 4635.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49284 + 4356 = 222^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286 + ... + 434.

2⁵³⁶⁴⁰ 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 53640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87750).

53640 is an abundant number, since it is smaller than the sum of its proper divisors (121860).

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

53640 is a wasteful number, since it uses less digits than its factorization.

53640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53640 is about 231.6031087874. The cubic root of 53640 is about 37.7134494108.

It can be divided in two parts, 536 and 40, that added together give a square (576 = 24²).

The spelling of 53640 in words is "fifty-three thousand, six hundred forty".