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66464 = 253167
BaseRepresentation
bin10000001110100000
310101011122
4100032200
54111324
61231412
7364526
oct201640
9111148
1066464
1145a32
1232568
1324338
141a316
1514a5e
hex103a0

66464 has 24 divisors (see below), whose sum is σ = 137088. Its totient is φ = 31680.

The previous prime is 66463. The next prime is 66467. The reversal of 66464 is 46466.

Its product of digits (3456) is a multiple of the sum of its prime factors (108).

It is a plaindrome in base 9.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 66464.

It is not an unprimeable number, because it can be changed into a prime (66463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 959 + ... + 1025.

It is an arithmetic number, because the mean of its divisors is an integer number (5712).

266464 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 66464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68544).

66464 is an abundant number, since it is smaller than the sum of its proper divisors (70624).

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

66464 is a wasteful number, since it uses less digits than its factorization.

66464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 100 counting only the distinct ones).

The product of its digits is 3456, while the sum is 26.

The square root of 66464 is about 257.8061287092. The cubic root of 66464 is about 40.5068829434.

The spelling of 66464 in words is "sixty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 67 124 134 248 268 496 536 992 1072 2077 2144 4154 8308 16616 33232 66464