810067968 has 144 divisors (see below), whose sum is σ = 2376410400. Its totient is φ = 265789440.

The previous prime is 810067967. The next prime is 810067987. The reversal of 810067968 is 869760018.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×810067968² = 1312420225559298048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (810067967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1308363 + ... + 1308981.

It is an arithmetic number, because the mean of its divisors is an integer number (16502850).

Almost surely, 2^810067968 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 810067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188205200).

810067968 is an abundant number, since it is smaller than the sum of its proper divisors (1566342432).

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

810067968 is a wasteful number, since it uses less digits than its factorization.

810067968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 810067968 is about 28461.6929925119. The cubic root of 810067968 is about 932.1958241901.

The spelling of 810067968 in words is "eight hundred ten million, sixty-seven thousand, nine hundred sixty-eight".