1168660416 has 224 divisors, whose sum is σ = 3889930752. Its totient is φ = 300810240.

The previous prime is 1168660411. The next prime is 1168660421. The reversal of 1168660416 is 6140668611.

It is an interprime number because it is at equal distance from previous prime (1168660411) and next prime (1168660421).

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168660411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2025120 + ... + 2025696.

Almost surely, 2^1168660416 is an apocalyptic number.

1168660416 is a gapful number since it is divisible by the number (16) 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 1168660416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944965376).

1168660416 is an abundant number, since it is smaller than the sum of its proper divisors (2721270336).

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

1168660416 is a wasteful number, since it uses less digits than its factorization.

1168660416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 1168660416 is about 34185.6755966589. The cubic root of 1168660416 is about 1053.3259363187.

The spelling of 1168660416 in words is "one billion, one hundred sixty-eight million, six hundred sixty thousand, four hundred sixteen".