864482112 has 224 divisors, whose sum is σ = 2833420800. Its totient is φ = 256628736.

The previous prime is 864482107. The next prime is 864482119. The reversal of 864482112 is 211284468.

864482112 is a `hidden beast` number, since 8 + 64 + 482 + 112 = 666.

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

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 (864482119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650793 + ... + 652119.

It is an arithmetic number, because the mean of its divisors is an integer number (12649200).

Almost surely, 2^864482112 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 864482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416710400).

864482112 is an abundant number, since it is smaller than the sum of its proper divisors (1968938688).

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

864482112 is a wasteful number, since it uses less digits than its factorization.

864482112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1374 counting only the distinct ones).

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

The square root of 864482112 is about 29402.0766613517. The cubic root of 864482112 is about 952.6177521979.

The spelling of 864482112 in words is "eight hundred sixty-four million, four hundred eighty-two thousand, one hundred twelve".