814316672 has 64 divisors (see below), whose sum is σ = 1755511800. Its totient is φ = 374022144.

The previous prime is 814316669. The next prime is 814316681. The reversal of 814316672 is 276613418.

It can be written as a sum of positive squares in 4 ways, for example, as 544568896 + 269747776 = 23336^2 + 16424^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×814316672² = 1326223284594311168, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 379988 + ... + 382124.

Almost surely, 2^814316672 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 814316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877755900).

814316672 is an abundant number, since it is smaller than the sum of its proper divisors (941195128).

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

814316672 is a wasteful number, since it uses less digits than its factorization.

814316672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2381 counting only the distinct ones).

The product of its digits is 48384, while the sum is 38.

The square root of 814316672 is about 28536.2343696571. The cubic root of 814316672 is about 933.8227329044.

The spelling of 814316672 in words is "eight hundred fourteen million, three hundred sixteen thousand, six hundred seventy-two".