819963648 has 324 divisors, whose sum is σ = 2862601560. Its totient is φ = 233404416.

The previous prime is 819963637. The next prime is 819963649. The reversal of 819963648 is 846369918.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 819963594 and 819963603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819963649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3048058 + ... + 3048326.

It is an arithmetic number, because the mean of its divisors is an integer number (8835190).

Almost surely, 2^819963648 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 819963648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431300780).

819963648 is an abundant number, since it is smaller than the sum of its proper divisors (2042637912).

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

819963648 is an equidigital number, since it uses as much as digits as its factorization.

819963648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 819963648 is about 28635.0073860651. The cubic root of 819963648 is about 935.9763307624.

The spelling of 819963648 in words is "eight hundred nineteen million, nine hundred sixty-three thousand, six hundred forty-eight".