812608416 has 192 divisors, whose sum is σ = 2540160000. Its totient is φ = 251963136.

The previous prime is 812608411. The next prime is 812608421. The reversal of 812608416 is 614806218.

812608416 is a `hidden beast` number, since 8 + 1 + 2 + 608 + 41 + 6 = 666.

812608416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (812608411) and next prime (812608421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812608411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 968125 + ... + 968963.

It is an arithmetic number, because the mean of its divisors is an integer number (13230000).

Almost surely, 2^812608416 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 812608416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080000).

812608416 is an abundant number, since it is smaller than the sum of its proper divisors (1727551584).

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

812608416 is a wasteful number, since it uses less digits than its factorization.

812608416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 812608416 is about 28506.2873064873. The cubic root of 812608416 is about 933.1692913512.

It can be divided in two parts, 81260 and 8416, that added together give a triangular number (89676 = T₄₂₃).

The spelling of 812608416 in words is "eight hundred twelve million, six hundred eight thousand, four hundred sixteen".