864416 has 48 divisors (see below), whose sum is σ = 2068416. Its totient is φ = 347136.

The previous prime is 864407. The next prime is 864419. The reversal of 864416 is 614468.

864416 = 19² + 20² + ... + 137².

It is not an unprimeable number, because it can be changed into a prime (864419) 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 7 ways as a sum of consecutive naturals, for example, 3695 + ... + 3921.

It is an arithmetic number, because the mean of its divisors is an integer number (43092).

2⁸⁶⁴⁴¹⁶ 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 864416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034208).

864416 is an abundant number, since it is smaller than the sum of its proper divisors (1204000).

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

864416 is a wasteful number, since it uses less digits than its factorization.

864416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 253 counting only the distinct ones).

The product of its digits is 4608, while the sum is 29.

The square root of 864416 is about 929.7397485318. The cubic root of 864416 is about 95.2593467496.

The spelling of 864416 in words is "eight hundred sixty-four thousand, four hundred sixteen".