810939264 has 64 divisors (see below), whose sum is σ = 2157242880. Its totient is φ = 269913600.

The previous prime is 810939211. The next prime is 810939289. The reversal of 810939264 is 462939018.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 379479 + ... + 381609.

It is an arithmetic number, because the mean of its divisors is an integer number (33706920).

Almost surely, 2^810939264 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 810939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078621440).

810939264 is an abundant number, since it is smaller than the sum of its proper divisors (1346303616).

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

810939264 is a wasteful number, since it uses less digits than its factorization.

810939264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3139 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 810939264 is about 28476.9953471219. The cubic root of 810939264 is about 932.5299226838.

The spelling of 810939264 in words is "eight hundred ten million, nine hundred thirty-nine thousand, two hundred sixty-four".