1217896960 has 320 divisors, whose sum is σ = 3633696000. Its totient is φ = 390168576.

The previous prime is 1217896951. The next prime is 1217896987. The reversal of 1217896960 is 696987121.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (49).

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, 16683484 + ... + 16683556.

It is an arithmetic number, because the mean of its divisors is an integer number (11355300).

Almost surely, 2^1217896960 is an apocalyptic number.

1217896960 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 1217896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1816848000).

1217896960 is an abundant number, since it is smaller than the sum of its proper divisors (2415799040).

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

1217896960 is an frugal number, since it uses more digits than its factorization.

1217896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 49.

The square root of 1217896960 is about 34898.3804781827. The cubic root of 1217896960 is about 1067.9153986673.

The spelling of 1217896960 in words is "one billion, two hundred seventeen million, eight hundred ninety-six thousand, nine hundred sixty".