5652864 has 96 divisors (see below), whose sum is σ = 18617040. Its totient is φ = 1612800.

The previous prime is 5652863. The next prime is 5652887. The reversal of 5652864 is 4682565.

5652864 = 54³ + 55³ + ... + 74³.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5652863) 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 11 ways as a sum of consecutive naturals, for example, 7714 + ... + 8414.

Almost surely, 2^5652864 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 5652864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9308520).

5652864 is an abundant number, since it is smaller than the sum of its proper divisors (12964176).

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

5652864 is a wasteful number, since it uses less digits than its factorization.

5652864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 5652864 is about 2377.5752354027. The cubic root of 5652864 is about 178.1378387791.

Subtracting from 5652864 its reverse (4682565), we obtain a cube (970299 = 99³).

The spelling of 5652864 in words is "five million, six hundred fifty-two thousand, eight hundred sixty-four".