1217160 has 192 divisors, whose sum is σ = 4924800. Its totient is φ = 266112.

The previous prime is 1217147. The next prime is 1217171. The reversal of 1217160 is 617121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52909 + ... + 52931.

It is an arithmetic number, because the mean of its divisors is an integer number (25650).

2^1217160 is an apocalyptic number.

1217160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1217160 is the 552-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1217160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2462400).

1217160 is an abundant number, since it is smaller than the sum of its proper divisors (3707640).

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

1217160 is a wasteful number, since it uses less digits than its factorization.

1217160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1217160 is about 1103.2497450714. The cubic root of 1217160 is about 106.7699953586.

The spelling of 1217160 in words is "one million, two hundred seventeen thousand, one hundred sixty".