856416 has 48 divisors (see below), whose sum is σ = 2455488. Its totient is φ = 259200.

The previous prime is 856411. The next prime is 856417. The reversal of 856416 is 614658.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856411) by changing a digit.

856416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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, 651 + ... + 1461.

It is an arithmetic number, because the mean of its divisors is an integer number (51156).

2⁸⁵⁶⁴¹⁶ 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 856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1227744).

856416 is an abundant number, since it is smaller than the sum of its proper divisors (1599072).

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

856416 is a wasteful number, since it uses less digits than its factorization.

856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 827 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 856416 is about 925.4274687948. The cubic root of 856416 is about 94.9645666564.

The spelling of 856416 in words is "eight hundred fifty-six thousand, four hundred sixteen".