1217092968 has 384 divisors, whose sum is σ = 4402944000. Its totient is φ = 300754944.

The previous prime is 1217092963. The next prime is 1217092969. The reversal of 1217092968 is 8692907121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217092963) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5457705 + ... + 5457927.

It is an arithmetic number, because the mean of its divisors is an integer number (11466000).

Almost surely, 2^1217092968 is an apocalyptic number.

1217092968 is a gapful number since it is divisible by the number (18) 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 1217092968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201472000).

1217092968 is an abundant number, since it is smaller than the sum of its proper divisors (3185851032).

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

1217092968 is a wasteful number, since it uses less digits than its factorization.

1217092968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 1217092968 is about 34886.8595319212. The cubic root of 1217092968 is about 1067.6803529373.

The spelling of 1217092968 in words is "one billion, two hundred seventeen million, ninety-two thousand, nine hundred sixty-eight".