967967000 has 256 divisors, whose sum is σ = 3044321280. Its totient is φ = 278208000.

The previous prime is 967966939. The next prime is 967967003. The reversal of 967967000 is 769769.

It is a super-2 number, since 2×967967000² = 1873920226178000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (967967003) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1000517 + ... + 1001483.

It is an arithmetic number, because the mean of its divisors is an integer number (11891880).

Almost surely, 2^967967000 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 967967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522160640).

967967000 is an abundant number, since it is smaller than the sum of its proper divisors (2076354280).

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

967967000 is a wasteful number, since it uses less digits than its factorization.

967967000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 44.

The square root of 967967000 is about 31112.1680376023. The cubic root of 967967000 is about 989.2062474142.

The spelling of 967967000 in words is "nine hundred sixty-seven million, nine hundred sixty-seven thousand".