967271200 has 144 divisors (see below), whose sum is σ = 2750448960. Its totient is φ = 325278720.

The previous prime is 967271189. The next prime is 967271203. The reversal of 967271200 is 2172769.

It is a super-2 number, since 2×967271200² = 1871227148698880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (967271203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295171 + ... + 298429.

It is an arithmetic number, because the mean of its divisors is an integer number (19100340).

Almost surely, 2^967271200 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 967271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1375224480).

967271200 is an abundant number, since it is smaller than the sum of its proper divisors (1783177760).

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

967271200 is a wasteful number, since it uses less digits than its factorization.

967271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3326 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 967271200 is about 31100.9839072657. The cubic root of 967271200 is about 988.9691681566.

The spelling of 967271200 in words is "nine hundred sixty-seven million, two hundred seventy-one thousand, two hundred".