53640000 has 210 divisors, whose sum is σ = 193414650. Its totient is φ = 14208000.

The previous prime is 53639987. The next prime is 53640001. The reversal of 53640000 is 4635.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 32626944 + 21013056 = 5712^2 + 4584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53640001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 359926 + ... + 360074.

Almost surely, 2^53640000 is an apocalyptic number.

53640000 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 53640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96707325).

53640000 is an abundant number, since it is smaller than the sum of its proper divisors (139774650).

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

53640000 is a wasteful number, since it uses less digits than its factorization.

53640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

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

The square root of 53640000 is about 7323.9333694402. The cubic root of 53640000 is about 377.1344941081.

Adding to 53640000 its reverse (4635), we get a palindrome (53644635).

The spelling of 53640000 in words is "fifty-three million, six hundred forty thousand".