806634624 has 64 divisors (see below), whose sum is σ = 2153701440. Its totient is φ = 267488256.

The previous prime is 806634599. The next prime is 806634629. The reversal of 806634624 is 426436608.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (806634629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70317 + ... + 80979.

It is an arithmetic number, because the mean of its divisors is an integer number (33651585).

Almost surely, 2^806634624 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 806634624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076850720).

806634624 is an abundant number, since it is smaller than the sum of its proper divisors (1347066816).

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

806634624 is a wasteful number, since it uses less digits than its factorization.

806634624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10877 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The square root of 806634624 is about 28401.3137724296. The cubic root of 806634624 is about 930.8769713631.

The spelling of 806634624 in words is "eight hundred six million, six hundred thirty-four thousand, six hundred twenty-four".