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64080 = 2432589
BaseRepresentation
bin1111101001010000
310020220100
433221100
54022310
61212400
7354552
oct175120
9106810
1064080
1144165
1231100
1323223
14194d2
1513ec0
hexfa50

64080 has 60 divisors (see below), whose sum is σ = 217620. Its totient is φ = 16896.

The previous prime is 64067. The next prime is 64081. The reversal of 64080 is 8046.

64080 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 17424 + 46656 = 132^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a nialpdrome in base 4, base 12 and base 16.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 676 + ... + 764.

It is an arithmetic number, because the mean of its divisors is an integer number (3627).

264080 is an apocalyptic number.

64080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810).

64080 is an abundant number, since it is smaller than the sum of its proper divisors (153540).

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

64080 is a wasteful number, since it uses less digits than its factorization.

64080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 64080 is about 253.1402773167. The cubic root of 64080 is about 40.0166597270.

The spelling of 64080 in words is "sixty-four thousand, eighty".