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63666 = 235131
BaseRepresentation
bin1111100010110010
310020100000
433202302
54014131
61210430
7353421
oct174262
9106300
1063666
1143919
1230a16
1322c95
14192b8
1513ce6
hexf8b2

63666 has 24 divisors (see below), whose sum is σ = 144144. Its totient is φ = 21060.

The previous prime is 63659. The next prime is 63667. The reversal of 63666 is 66636.

It can be divided in two parts, 63 and 666, that added together give a 6-th power (729 = 36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (63667) 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, 421 + ... + 551.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

263666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72072).

63666 is an abundant number, since it is smaller than the sum of its proper divisors (80478).

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

63666 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (63665) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (136).

63666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 136 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 63666 is about 252.3212238398. The cubic root of 63666 is about 39.9302952685.

The spelling of 63666 in words is "sixty-three thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 81 131 162 243 262 393 486 786 1179 2358 3537 7074 10611 21222 31833 63666