53643264 has 48 divisors (see below), whose sum is σ = 143030160. Its totient is φ = 17879040.

The previous prime is 53643263. The next prime is 53643277. The reversal of 53643264 is 46234635.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (53643263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1779 + ... + 10509.

It is an arithmetic number, because the mean of its divisors is an integer number (2979795).

Almost surely, 2^53643264 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 53643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71515080).

53643264 is an abundant number, since it is smaller than the sum of its proper divisors (89386896).

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

53643264 is an equidigital number, since it uses as much as digits as its factorization.

53643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8756 (or 8736 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 53643264 is about 7324.1561971329. The cubic root of 53643264 is about 377.1421435117.

Adding to 53643264 its reverse (46234635), we get a palindrome (99877899).

The spelling of 53643264 in words is "fifty-three million, six hundred forty-three thousand, two hundred sixty-four".