64512 has 66 divisors (see below), whose sum is σ = 212888. Its totient is φ = 18432.

The previous prime is 64499. The next prime is 64513. The reversal of 64512 is 21546.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

Its product of digits (240) is a multiple of the sum of its prime divisors (12).

It is a nialpdrome in base 2, base 4 and base 16.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64513) by changing a digit.

64512 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 5 ways as a sum of consecutive naturals, for example, 9213 + ... + 9219.

64512 is a Friedman number, since it can be written as 4^5*(2^6-1), using all its digits and the basic arithmetic operations.

2^{64512} 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 64512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106444).

64512 is an abundant number, since it is smaller than the sum of its proper divisors (148376).

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

64512 is a wasteful number, since it uses less digits than its factorization.

64512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 12 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 64512 is about 253.9921258622. The cubic root of 64512 is about 40.1063834797.

It can be divided in two parts, 64 and 512, that multiplied together give a 15-th power (32768 = 2^{15}).

The spelling of 64512 in words is "sixty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512

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