1217064960 has 416 divisors, whose sum is σ = 4529295360. Its totient is φ = 309657600.

The previous prime is 1217064949. The next prime is 1217065001. The reversal of 1217064960 is 694607121.

1217064960 is a `hidden beast` number, since 1 + 2 + 1 + 7 + 0 + 649 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17141725 + ... + 17141795.

Almost surely, 2^1217064960 is an apocalyptic number.

1217064960 is a gapful number since it is divisible by the number (10) 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 1217064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264647680).

1217064960 is an abundant number, since it is smaller than the sum of its proper divisors (3312230400).

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

1217064960 is an equidigital number, since it uses as much as digits as its factorization.

1217064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1217064960 is about 34886.4581177281. The cubic root of 1217064960 is about 1067.6721629794.

The spelling of 1217064960 in words is "one billion, two hundred seventeen million, sixty-four thousand, nine hundred sixty".