967252608 has 384 divisors, whose sum is σ = 3436992000. Its totient is φ = 254969856.

The previous prime is 967252577. The next prime is 967252609. The reversal of 967252608 is 806252769.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (967252609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9039691 + ... + 9039797.

It is an arithmetic number, because the mean of its divisors is an integer number (8950500).

Almost surely, 2^967252608 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 967252608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1718496000).

967252608 is an abundant number, since it is smaller than the sum of its proper divisors (2469739392).

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

967252608 is a wasteful number, since it uses less digits than its factorization.

967252608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 967252608 is about 31100.6850085332. The cubic root of 967252608 is about 988.9628317632.

The spelling of 967252608 in words is "nine hundred sixty-seven million, two hundred fifty-two thousand, six hundred eight".