967416 has 32 divisors (see below), whose sum is σ = 2442960. Its totient is φ = 319232.

The previous prime is 967397. The next prime is 967427. The reversal of 967416 is 614769.

It is a happy number.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 967416.

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, 4036 + ... + 4268.

2⁹⁶⁷⁴¹⁶ is an apocalyptic number.

It is an amenable number.

967416 is an abundant number, since it is smaller than the sum of its proper divisors (1475544).

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

967416 is a wasteful number, since it uses less digits than its factorization.

967416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 411 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 967416 is about 983.5730781188. The cubic root of 967416 is about 98.9018515086.

The spelling of 967416 in words is "nine hundred sixty-seven thousand, four hundred sixteen".