967967000260 has 24 divisors (see below), whose sum is σ = 2189094601176. Its totient is φ = 357403200000.

The previous prime is 967967000251. The next prime is 967967000261. The reversal of 967967000260 is 62000769769.

It can be written as a sum of positive squares in 4 ways, for example, as 11416495104 + 956550505156 = 106848^2 + 978034^2 .

It is a super-2 number, since 2×967967000260² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 967967000198 and 967967000207.

It is not an unprimeable number, because it can be changed into a prime (967967000261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1861474741 + ... + 1861475260.

It is an arithmetic number, because the mean of its divisors is an integer number (91212275049).

Almost surely, 2^967967000260 is an apocalyptic number.

It is an amenable number.

967967000260 is an abundant number, since it is smaller than the sum of its proper divisors (1221127600916).

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

967967000260 is a wasteful number, since it uses less digits than its factorization.

967967000260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3722950023 (or 3722950021 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 52.

The spelling of 967967000260 in words is "nine hundred sixty-seven billion, nine hundred sixty-seven million, two hundred sixty", and thus it is an aban number.