1217410560 has 480 divisors, whose sum is σ = 4647202560. Its totient is φ = 304570368.

The previous prime is 1217410529. The next prime is 1217410567. The reversal of 1217410560 is 650147121.

It is a happy number.

1217410560 is a `hidden beast` number, since 1 + 21 + 74 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1217410567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11819469 + ... + 11819571.

It is an arithmetic number, because the mean of its divisors is an integer number (9681672).

Almost surely, 2^1217410560 is an apocalyptic number.

1217410560 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 1217410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323601280).

1217410560 is an abundant number, since it is smaller than the sum of its proper divisors (3429792000).

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

1217410560 is an equidigital number, since it uses as much as digits as its factorization.

1217410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 1217410560 is about 34891.4109774884. The cubic root of 1217410560 is about 1067.7732127976.

Adding to 1217410560 its reverse (650147121), we get a palindrome (1867557681).

The spelling of 1217410560 in words is "one billion, two hundred seventeen million, four hundred ten thousand, five hundred sixty".