812661696 has 336 divisors, whose sum is σ = 2955633408. Its totient is φ = 207360000.

The previous prime is 812661653. The next prime is 812661757. The reversal of 812661696 is 696166218.

812661696 is a `hidden beast` number, since 8 + 1 + 26 + 616 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3237571 + ... + 3237821.

It is an arithmetic number, because the mean of its divisors is an integer number (8796528).

Almost surely, 2^812661696 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 812661696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477816704).

812661696 is an abundant number, since it is smaller than the sum of its proper divisors (2142971712).

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

812661696 is a wasteful number, since it uses less digits than its factorization.

812661696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 812661696 is about 28507.2218218472. The cubic root of 812661696 is about 933.1896858291.

The spelling of 812661696 in words is "eight hundred twelve million, six hundred sixty-one thousand, six hundred ninety-six".