864628416 has 84 divisors (see below), whose sum is σ = 2494964784. Its totient is φ = 286272000.

The previous prime is 864628411. The next prime is 864628423. The reversal of 864628416 is 614826468.

864628416 is a `hidden beast` number, since 8 + 6 + 4 + 628 + 4 + 16 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (864628411) 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 11 ways as a sum of consecutive naturals, for example, 82006 + ... + 91946.

Almost surely, 2^864628416 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 864628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247482392).

864628416 is an abundant number, since it is smaller than the sum of its proper divisors (1630336368).

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

864628416 is a wasteful number, since it uses less digits than its factorization.

864628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10110 (or 10097 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 864628416 is about 29404.5645436215. The cubic root of 864628416 is about 952.6714891594.

The spelling of 864628416 in words is "eight hundred sixty-four million, six hundred twenty-eight thousand, four hundred sixteen".