816280224 has 48 divisors (see below), whose sum is σ = 2144443392. Its totient is φ = 271876608.

The previous prime is 816280207. The next prime is 816280237. The reversal of 816280224 is 422082618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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, 157092 + ... + 162204.

It is an arithmetic number, because the mean of its divisors is an integer number (44675904).

Almost surely, 2^816280224 is an apocalyptic number.

It is an amenable number.

816280224 is an abundant number, since it is smaller than the sum of its proper divisors (1328163168).

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

816280224 is a wasteful number, since it uses less digits than its factorization.

816280224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6789 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 816280224 is about 28570.6181942218. The cubic root of 816280224 is about 934.5727022722.

The spelling of 816280224 in words is "eight hundred sixteen million, two hundred eighty thousand, two hundred twenty-four".