5643264 has 88 divisors (see below), whose sum is σ = 16507008. Its totient is φ = 1699840.

The previous prime is 5643263. The next prime is 5643301. The reversal of 5643264 is 4623465.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5643263) 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 7 ways as a sum of consecutive naturals, for example, 33709 + ... + 33875.

Almost surely, 2^5643264 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 5643264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253504).

5643264 is an abundant number, since it is smaller than the sum of its proper divisors (10863744).

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

5643264 is a wasteful number, since it uses less digits than its factorization.

5643264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 183 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 5643264 is about 2375.5555139798. Note that the first 4 decimals coincide. The cubic root of 5643264 is about 178.0369405299.

It can be divided in two parts, 564 and 3264, that added together give a triangular number (3828 = T₈₇).

The spelling of 5643264 in words is "five million, six hundred forty-three thousand, two hundred sixty-four".