4536864 has 96 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 1469952.

The previous prime is 4536859. The next prime is 4536869. The reversal of 4536864 is 4686354.

4536864 = T₁₅₁ + T₁₅₂ + ... + T₃₁₂.

It is an interprime number because it is at equal distance from previous prime (4536859) and next prime (4536869).

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4536869) 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, 50932 + ... + 51020.

It is an arithmetic number, because the mean of its divisors is an integer number (141750).

Almost surely, 2^4536864 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 4536864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

4536864 is an abundant number, since it is smaller than the sum of its proper divisors (9071136).

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

4536864 is a wasteful number, since it uses less digits than its factorization.

4536864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 153 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4536864 is about 2129.9915492790. The cubic root of 4536864 is about 165.5459601030.

Adding to 4536864 its sum of digits (36), we get a square (4536900 = 2130²).

The spelling of 4536864 in words is "four million, five hundred thirty-six thousand, eight hundred sixty-four".