816448968 has 24 divisors (see below), whose sum is σ = 2211216150. Its totient is φ = 272149632.

The previous prime is 816448957. The next prime is 816449003. The reversal of 816448968 is 869844618.

It can be written as a sum of positive squares in only one way, i.e., 501670404 + 314778564 = 22398^2 + 17742^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5669713 + ... + 5669856.

Almost surely, 2^816448968 is an apocalyptic number.

It is an amenable number.

816448968 is an abundant number, since it is smaller than the sum of its proper divisors (1394767182).

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

816448968 is a wasteful number, since it uses less digits than its factorization.

816448968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11339581 (or 11339574 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 816448968 is about 28573.5711453784. The cubic root of 816448968 is about 934.6370970987.

The spelling of 816448968 in words is "eight hundred sixteen million, four hundred forty-eight thousand, nine hundred sixty-eight".