967085604 has 81 divisors (see below), whose sum is σ = 2513924049. Its totient is φ = 313467840.

The previous prime is 967085593. The next prime is 967085629. The reversal of 967085604 is 406580769.

The square root of 967085604 is 31098.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 548964900 + 418120704 = 23430^2 + 20448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 967085604.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 13247712 + ... + 13247784.

Almost surely, 2^967085604 is an apocalyptic number.

967085604 is the 31098-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967085604

967085604 is an abundant number, since it is smaller than the sum of its proper divisors (1546838445).

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

967085604 is a wasteful number, since it uses less digits than its factorization.

967085604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 149 counting only the distinct ones).

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

The cubic root of 967085604 is about 988.9059110051.

The spelling of 967085604 in words is "nine hundred sixty-seven million, eighty-five thousand, six hundred four".