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8820864 = 2732131931
BaseRepresentation
bin100001101001…
…100010000000
3121121010221200
4201221202000
54224231424
6513021200
7134655543
oct41514200
917533850
108820864
114a85278
122b54800
131a9ac60
14125885a
15b938c9
hex869880

8820864 has 192 divisors, whose sum is σ = 29702400. Its totient is φ = 2488320.

The previous prime is 8820859. The next prime is 8820869. The reversal of 8820864 is 4680288.

It is an interprime number because it is at equal distance from previous prime (8820859) and next prime (8820869).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8820869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 284529 + ... + 284559.

It is an arithmetic number, because the mean of its divisors is an integer number (154700).

Almost surely, 28820864 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 8820864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851200).

8820864 is an abundant number, since it is smaller than the sum of its proper divisors (20881536).

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

8820864 is a wasteful number, since it uses less digits than its factorization.

8820864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 8820864 is about 2969.9939393878. The cubic root of 8820864 is about 206.6190571335.

Adding to 8820864 its sum of digits (36), we get a square (8820900 = 29702).

The spelling of 8820864 in words is "eight million, eight hundred twenty thousand, eight hundred sixty-four".