810555648 has 288 divisors, whose sum is σ = 2678457600. Its totient is φ = 216760320.

The previous prime is 810555619. The next prime is 810555653. The reversal of 810555648 is 846555018.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4478118 + ... + 4478298.

It is an arithmetic number, because the mean of its divisors is an integer number (9300200).

Almost surely, 2^810555648 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 810555648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339228800).

810555648 is an abundant number, since it is smaller than the sum of its proper divisors (1867901952).

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

810555648 is a wasteful number, since it uses less digits than its factorization.

810555648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 42.

The square root of 810555648 is about 28470.2590083055. The cubic root of 810555648 is about 932.3828546117.

The spelling of 810555648 in words is "eight hundred ten million, five hundred fifty-five thousand, six hundred forty-eight".