856312416 has 72 divisors (see below), whose sum is σ = 2453835384. Its totient is φ = 283246080.

The previous prime is 856312403. The next prime is 856312451. The reversal of 856312416 is 614213658.

It is a happy number.

856312416 is a `hidden beast` number, since 8 + 5 + 631 + 2 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26380 + ... + 49076.

It is an arithmetic number, because the mean of its divisors is an integer number (34081047).

Almost surely, 2^856312416 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 856312416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226917692).

856312416 is an abundant number, since it is smaller than the sum of its proper divisors (1597522968).

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

856312416 is a wasteful number, since it uses less digits than its factorization.

856312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22844 (or 22833 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 856312416 is about 29262.8162691153. The cubic root of 856312416 is about 949.6073782928.

The spelling of 856312416 in words is "eight hundred fifty-six million, three hundred twelve thousand, four hundred sixteen".