806105664 has 315 divisors, whose sum is σ = 2911764687. Its totient is φ = 212599296.

The previous prime is 806105659. The next prime is 806105669. The reversal of 806105664 is 466501608.

The square root of 806105664 is 28392.

It is a perfect power (a square), and thus also a powerful number.

806105664 is a `hidden beast` number, since 80 + 6 + 10 + 566 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (806105659) and next prime (806105669).

It can be written as a sum of positive squares in 2 ways, for example, as 399680064 + 406425600 = 19992^2 + 20160^2 .

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

It is not an unprimeable number, because it can be changed into a prime (806105669) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62008122 + ... + 62008134.

Almost surely, 2^806105664 is an apocalyptic number.

806105664 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

806105664 is the 28392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806105664

806105664 is an abundant number, since it is smaller than the sum of its proper divisors (2105659023).

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

806105664 is an equidigital number, since it uses as much as digits as its factorization.

806105664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The cubic root of 806105664 is about 930.6734490830.

Multiplying 806105664 by its sum of digits (36), we get a square (29019803904 = 170352²).

806105664 divided by its sum of digits (36) gives a square (22391824 = 4732²).

The spelling of 806105664 in words is "eight hundred six million, one hundred five thousand, six hundred sixty-four".