812905632 has 240 divisors, whose sum is σ = 2981385792. Its totient is φ = 211092480.

The previous prime is 812905579. The next prime is 812905637. The reversal of 812905632 is 236509218.

812905632 is a `hidden beast` number, since 8 + 1 + 2 + 90 + 563 + 2 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812905637) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 197548 + ... + 201620.

Almost surely, 2^812905632 is an apocalyptic number.

It is a pronic number, being equal to 28511×28512.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812905632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490692896).

812905632 is an abundant number, since it is smaller than the sum of its proper divisors (2168480160).

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

812905632 is a wasteful number, since it uses less digits than its factorization.

812905632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4113 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 812905632 is about 28511.4999956158. The cubic root of 812905632 is about 933.2830480845.

The spelling of 812905632 in words is "eight hundred twelve million, nine hundred five thousand, six hundred thirty-two".