967991616 has 168 divisors, whose sum is σ = 2989868544. Its totient is φ = 298552320.

The previous prime is 967991599. The next prime is 967991621. The reversal of 967991616 is 616199769.

It is a super-3 number, since 3×967991616³ (a number of 28 digits) contains 333 as substring.

It is a congruent number.

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, 409510 + ... + 411866.

Almost surely, 2^967991616 is an apocalyptic number.

967991616 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 967991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494934272).

967991616 is an abundant number, since it is smaller than the sum of its proper divisors (2021876928).

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

967991616 is a wasteful number, since it uses less digits than its factorization.

967991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2429 (or 2416 counting only the distinct ones).

The product of its digits is 1102248, while the sum is 54.

The square root of 967991616 is about 31112.5636359333. The cubic root of 967991616 is about 989.2146327188.

The spelling of 967991616 in words is "nine hundred sixty-seven million, nine hundred ninety-one thousand, six hundred sixteen".