817621248 has 108 divisors (see below), whose sum is σ = 2223749360. Its totient is φ = 266692608.

The previous prime is 817621237. The next prime is 817621267. The reversal of 817621248 is 842126718.

It is a happy 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 11 ways as a sum of consecutive naturals, for example, 2157123 + ... + 2157501.

Almost surely, 2^817621248 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 817621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111874680).

817621248 is an abundant number, since it is smaller than the sum of its proper divisors (1406128112).

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

817621248 is an equidigital number, since it uses as much as digits as its factorization.

817621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 437 counting only the distinct ones).

The product of its digits is 43008, while the sum is 39.

The square root of 817621248 is about 28594.0771489482. The cubic root of 817621248 is about 935.0842091028.

The spelling of 817621248 in words is "eight hundred seventeen million, six hundred twenty-one thousand, two hundred forty-eight".