812146608 has 320 divisors, whose sum is σ = 2918702080. Its totient is φ = 210511872.

The previous prime is 812146607. The next prime is 812146631. The reversal of 812146608 is 806641218.

812146608 is a `hidden beast` number, since 8 + 1 + 2 + 1 + 46 + 608 = 666.

It is a super-2 number, since 2×812146608² = 1319164225771811328, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (812146607) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2869635 + ... + 2869917.

It is an arithmetic number, because the mean of its divisors is an integer number (9120944).

Almost surely, 2^812146608 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 812146608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459351040).

812146608 is an abundant number, since it is smaller than the sum of its proper divisors (2106555472).

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

812146608 is a wasteful number, since it uses less digits than its factorization.

812146608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 381 counting only the distinct ones).

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

The square root of 812146608 is about 28498.1860475364. The cubic root of 812146608 is about 932.9924834746.

It can be divided in two parts, 81 and 2146608, that added together give a cube (2146689 = 129³).

The spelling of 812146608 in words is "eight hundred twelve million, one hundred forty-six thousand, six hundred eight".