4536064 has 72 divisors (see below), whose sum is σ = 10301760. Its totient is φ = 1978368.

The previous prime is 4536061. The next prime is 4536067. The reversal of 4536064 is 4606354.

It is an interprime number because it is at equal distance from previous prime (4536061) and next prime (4536067).

It is a super-2 number, since 2×4536064² = 41151753224192, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4536061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96489 + ... + 96535.

It is an arithmetic number, because the mean of its divisors is an integer number (143080).

Almost surely, 2^4536064 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 4536064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5150880).

4536064 is an abundant number, since it is smaller than the sum of its proper divisors (5765696).

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

4536064 is a wasteful number, since it uses less digits than its factorization.

4536064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 4536064 is about 2129.8037468274. The cubic root of 4536064 is about 165.5362291116.

The spelling of 4536064 in words is "four million, five hundred thirty-six thousand, sixty-four".