64536 has 16 divisors (see below), whose sum is σ = 161400. Its totient is φ = 21504.

The previous prime is 64513. The next prime is 64553. The reversal of 64536 is 63546.

64536 = T₁₂₃ + T₁₂₄ + ... + T₁₃₀.

64536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 2689 = 64536 / (6 + 4 + 5 + 3 + 6).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

64536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1321 + ... + 1368.

2⁶⁴⁵³⁶ is an apocalyptic number.

It is an amenable number.

64536 is an abundant number, since it is smaller than the sum of its proper divisors (96864).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80700).

64536 is a wasteful number, since it uses less digits than its factorization.

64536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2698 (or 2694 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 64536 is about 254.0393670280. The cubic root of 64536 is about 40.1113563729. Note that the first 3 decimals are identical.

Subtracting from 64536 its reverse (63546), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 645 and 36, that multiplied together give a triangular number (23220 = T₂₁₅).

The spelling of 64536 in words is "sixty-four thousand, five hundred thirty-six".