812238560 has 96 divisors (see below), whose sum is σ = 2288466432. Its totient is φ = 266365440.

The previous prime is 812238547. The next prime is 812238571. The reversal of 812238560 is 65832218.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 812238560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9995 + ... + 41525.

It is an arithmetic number, because the mean of its divisors is an integer number (23838192).

Almost surely, 2^812238560 is an apocalyptic number.

812238560 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812238560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1144233216).

812238560 is an abundant number, since it is smaller than the sum of its proper divisors (1476227872).

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

812238560 is a wasteful number, since it uses less digits than its factorization.

812238560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31576 (or 31568 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 812238560 is about 28499.7992975389. The cubic root of 812238560 is about 933.0276935735.

The spelling of 812238560 in words is "eight hundred twelve million, two hundred thirty-eight thousand, five hundred sixty".