1216170540 has 288 divisors, whose sum is σ = 4226826240. Its totient is φ = 280760832.

The previous prime is 1216170539. The next prime is 1216170541. The reversal of 1216170540 is 450716121.

It is a happy number.

1216170540 is a `hidden beast` number, since 1 + 2 + 1 + 617 + 0 + 5 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1216170539) and next prime (1216170541).

It is not an unprimeable number, because it can be changed into a prime (1216170541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3175189 + ... + 3175571.

It is an arithmetic number, because the mean of its divisors is an integer number (14676480).

Almost surely, 2^1216170540 is an apocalyptic number.

1216170540 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 1216170540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

1216170540 is an abundant number, since it is smaller than the sum of its proper divisors (3010655700).

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

1216170540 is a wasteful number, since it uses less digits than its factorization.

1216170540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 488 counting only the distinct ones).

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

The square root of 1216170540 is about 34873.6367475490. The cubic root of 1216170540 is about 1067.4105550968.

Adding to 1216170540 its reverse (450716121), we get a palindrome (1666886661).

The spelling of 1216170540 in words is "one billion, two hundred sixteen million, one hundred seventy thousand, five hundred forty".