949967616 has 288 divisors, whose sum is σ = 2997812160. Its totient is φ = 264241152.

The previous prime is 949967537. The next prime is 949967639. The reversal of 949967616 is 616769949.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4922016 + ... + 4922208.

It is an arithmetic number, because the mean of its divisors is an integer number (10409070).

Almost surely, 2^949967616 is an apocalyptic number.

949967616 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 949967616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498906080).

949967616 is an abundant number, since it is smaller than the sum of its proper divisors (2047844544).

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

949967616 is a wasteful number, since it uses less digits than its factorization.

949967616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 57.

The square root of 949967616 is about 30821.5446725176. The cubic root of 949967616 is about 983.0364021848.

The spelling of 949967616 in words is "nine hundred forty-nine million, nine hundred sixty-seven thousand, six hundred sixteen".