812187648 has 238 divisors, whose sum is σ = 2578690854. Its totient is φ = 254803968.

The previous prime is 812187641. The next prime is 812187671. The reversal of 812187648 is 846781218.

It can be written as a sum of positive squares in only one way, i.e., 764411904 + 47775744 = 27648^2 + 6912^2 .

It is not an unprimeable number, because it can be changed into a prime (812187641) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 47775736 + ... + 47775752.

Almost surely, 2^812187648 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 812187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1289345427).

812187648 is an abundant number, since it is smaller than the sum of its proper divisors (1766503206).

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

812187648 is an frugal number, since it uses more digits than its factorization.

812187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 22 counting only the distinct ones).

The product of its digits is 172032, while the sum is 45.

The square root of 812187648 is about 28498.9060842693. The cubic root of 812187648 is about 933.0081987679.

The spelling of 812187648 in words is "eight hundred twelve million, one hundred eighty-seven thousand, six hundred forty-eight".