1217085696 has 144 divisors (see below), whose sum is σ = 3697187200. Its totient is φ = 394647552.

The previous prime is 1217085677. The next prime is 1217085713. The reversal of 1217085696 is 6965807121.

1217085696 is a `hidden beast` number, since 12 + 1 + 70 + 8 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253365 + ... + 258123.

Almost surely, 2^1217085696 is an apocalyptic number.

1217085696 is a gapful number since it is divisible by the number (16) 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 1217085696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848593600).

1217085696 is an abundant number, since it is smaller than the sum of its proper divisors (2480101504).

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

1217085696 is an equidigital number, since it uses as much as digits as its factorization.

1217085696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4821 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1217085696 is about 34886.7553091428. The cubic root of 1217085696 is about 1067.6782265079.

The spelling of 1217085696 in words is "one billion, two hundred seventeen million, eighty-five thousand, six hundred ninety-six".