53106640 has 60 divisors (see below), whose sum is σ = 131220396. Its totient is φ = 19984384.

The previous prime is 53106631. The next prime is 53106643. The reversal of 53106640 is 4660135.

53106640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2298256 + 50808384 = 1516^2 + 7128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53106643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21972 + ... + 24268.

Almost surely, 2^53106640 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 53106640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65610198).

53106640 is an abundant number, since it is smaller than the sum of its proper divisors (78113756).

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

53106640 is a wasteful number, since it uses less digits than its factorization.

53106640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2344 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 53106640 is about 7287.4302741090. The cubic root of 53106640 is about 375.8803376570.

Adding to 53106640 its reverse (4660135), we get a palindrome (57766775).

The spelling of 53106640 in words is "fifty-three million, one hundred six thousand, six hundred forty".