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66880 = 2651119
BaseRepresentation
bin10000010101000000
310101202001
4100111000
54120010
61233344
7365662
oct202500
9111661
1066880
1146280
1232854
1324598
141a532
1514c3a
hex10540

66880 has 56 divisors (see below), whose sum is σ = 182880. Its totient is φ = 23040.

The previous prime is 66877. The next prime is 66883. The reversal of 66880 is 8866.

66880 = 282 + 292 + ... + 602.

It is an interprime number because it is at equal distance from previous prime (66877) and next prime (66883).

It is a plaindrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66883) 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, 3511 + ... + 3529.

266880 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 66880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91440).

66880 is an abundant number, since it is smaller than the sum of its proper divisors (116000).

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

66880 is a wasteful number, since it uses less digits than its factorization.

66880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 66880 is about 258.6116780039. The cubic root of 66880 is about 40.5912184652.

It can be divided in two parts, 66 and 880, that added together give a triangular number (946 = T43).

The spelling of 66880 in words is "sixty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 64 76 80 88 95 110 152 160 176 190 209 220 304 320 352 380 418 440 608 704 760 836 880 1045 1216 1520 1672 1760 2090 3040 3344 3520 4180 6080 6688 8360 13376 16720 33440 66880