967960224 has 144 divisors (see below), whose sum is σ = 3431937600. Its totient is φ = 251412480.

The previous prime is 967960177. The next prime is 967960243. The reversal of 967960224 is 422069769.

967960224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×967960224² = 1873893990492260352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 967960224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352 + ... + 44000.

It is an arithmetic number, because the mean of its divisors is an integer number (23832900).

Almost surely, 2^967960224 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 967960224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715968800).

967960224 is an abundant number, since it is smaller than the sum of its proper divisors (2463977376).

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

967960224 is a wasteful number, since it uses less digits than its factorization.

967960224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43683 (or 43672 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 967960224 is about 31112.0591411112. The cubic root of 967960224 is about 989.2039391822.

It can be divided in two parts, 967 and 960224, that added together give a triangular number (961191 = T₁₃₈₆).

The spelling of 967960224 in words is "nine hundred sixty-seven million, nine hundred sixty thousand, two hundred twenty-four".