967205888 has 88 divisors (see below), whose sum is σ = 2233751904. Its totient is φ = 413696000.

The previous prime is 967205873. The next prime is 967205891. The reversal of 967205888 is 888502769.

It is a tau number, because it is divible by the number of its divisors (88).

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, 188963 + ... + 194013.

Almost surely, 2^967205888 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 967205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116875952).

967205888 is an abundant number, since it is smaller than the sum of its proper divisors (1266546016).

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

967205888 is a wasteful number, since it uses less digits than its factorization.

967205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099 (or 5081 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 53.

The square root of 967205888 is about 31099.9338906050. The cubic root of 967205888 is about 988.9469086262.

The spelling of 967205888 in words is "nine hundred sixty-seven million, two hundred five thousand, eight hundred eighty-eight".