812981624 has 64 divisors (see below), whose sum is σ = 1879718400. Its totient is φ = 321001344.

The previous prime is 812981581. The next prime is 812981629. The reversal of 812981624 is 426189218.

812981624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812981629) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 645107 + ... + 646365.

It is an arithmetic number, because the mean of its divisors is an integer number (29370600).

Almost surely, 2^812981624 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 812981624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (939859200).

812981624 is an abundant number, since it is smaller than the sum of its proper divisors (1066736776).

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

812981624 is a wasteful number, since it uses less digits than its factorization.

812981624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2172 (or 2168 counting only the distinct ones).

The product of its digits is 55296, while the sum is 41.

The square root of 812981624 is about 28512.8326197170. The cubic root of 812981624 is about 933.3121288833.

The spelling of 812981624 in words is "eight hundred twelve million, nine hundred eighty-one thousand, six hundred twenty-four".