53535040 has 112 divisors (see below), whose sum is σ = 145554192. Its totient is φ = 18579456.

The previous prime is 53535029. The next prime is 53535049. The reversal of 53535040 is 4053535.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 186624 + 53348416 = 432^2 + 7304^2 .

It is a junction number, because it is equal to n+sod(n) for n = 53534996 and 53535014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53535049) 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, 70342 + ... + 71098.

It is an arithmetic number, because the mean of its divisors is an integer number (1299591).

Almost surely, 2^53535040 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 53535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72777096).

53535040 is an abundant number, since it is smaller than the sum of its proper divisors (92019152).

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

53535040 is a wasteful number, since it uses less digits than its factorization.

53535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 25.

The square root of 53535040 is about 7316.7643121806. The cubic root of 53535040 is about 376.8883476796. Note that the first 3 decimals are identical.

Adding to 53535040 its reverse (4053535), we get a palindrome (57588575).

The spelling of 53535040 in words is "fifty-three million, five hundred thirty-five thousand, forty".