864614016 has 432 divisors, whose sum is σ = 3132495990. Its totient is φ = 228114432.

The previous prime is 864614011. The next prime is 864614041. The reversal of 864614016 is 610416468.

864614016 is a `hidden beast` number, since 8 + 646 + 1 + 4 + 0 + 1 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 864360000 + 254016 = 29400^2 + 504^2 .

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 (864614011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 16313446 + ... + 16313498.

Almost surely, 2^864614016 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 864614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566247995).

864614016 is an abundant number, since it is smaller than the sum of its proper divisors (2267881974).

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

864614016 is a wasteful number, since it uses less digits than its factorization.

864614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 864614016 is about 29404.3196826589. The cubic root of 864614016 is about 952.6662003574. Note that the first 3 decimals are identical.

The spelling of 864614016 in words is "eight hundred sixty-four million, six hundred fourteen thousand, sixteen".