812593824 has 192 divisors, whose sum is σ = 2650152960. Its totient is φ = 212751360.

The previous prime is 812593823. The next prime is 812593867. The reversal of 812593824 is 428395218.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (812593823) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 394782 + ... + 396834.

It is an arithmetic number, because the mean of its divisors is an integer number (13802880).

Almost surely, 2^812593824 is an apocalyptic number.

812593824 is a gapful number since it is divisible by the number (84) 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 812593824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325076480).

812593824 is an abundant number, since it is smaller than the sum of its proper divisors (1837559136).

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

812593824 is a wasteful number, since it uses less digits than its factorization.

812593824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2115 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 812593824 is about 28506.0313618013. The cubic root of 812593824 is about 933.1637056810.

The spelling of 812593824 in words is "eight hundred twelve million, five hundred ninety-three thousand, eight hundred twenty-four".