967017408 has 112 divisors (see below), whose sum is σ = 2941685760. Its totient is φ = 274627584.

The previous prime is 967017397. The next prime is 967017419. The reversal of 967017408 is 804710769.

It is an interprime number because it is at equal distance from previous prime (967017397) and next prime (967017419).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 967017408.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 230433 + ... + 234591.

Almost surely, 2^967017408 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 967017408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470842880).

967017408 is an abundant number, since it is smaller than the sum of its proper divisors (1974668352).

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

967017408 is a wasteful number, since it uses less digits than its factorization.

967017408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4354 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 967017408 is about 31096.9035114431. The cubic root of 967017408 is about 988.8826655577.

The spelling of 967017408 in words is "nine hundred sixty-seven million, seventeen thousand, four hundred eight".