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84864 = 2731317
BaseRepresentation
bin10100101110000000
311022102010
4110232000
510203424
61452520
7502263
oct245600
9138363
1084864
115883a
1241140
132c820
1422cda
151a229
hex14b80

84864 has 64 divisors (see below), whose sum is σ = 257040. Its totient is φ = 24576.

The previous prime is 84859. The next prime is 84869. The reversal of 84864 is 46848.

It is an interprime number because it is at equal distance from previous prime (84859) and next prime (84869).

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84869) by changing a digit.

84864 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 7 ways as a sum of consecutive naturals, for example, 4984 + ... + 5000.

284864 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 84864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128520).

84864 is an abundant number, since it is smaller than the sum of its proper divisors (172176).

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

84864 is a wasteful number, since it uses less digits than its factorization.

84864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47 (or 35 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 84864 is about 291.3142632965. The cubic root of 84864 is about 43.9448344457.

The spelling of 84864 in words is "eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 272 312 384 408 416 442 544 624 663 816 832 884 1088 1248 1326 1632 1664 1768 2176 2496 2652 3264 3536 4992 5304 6528 7072 10608 14144 21216 28288 42432 84864