1166417280 has 256 divisors, whose sum is σ = 4721702400. Its totient is φ = 266582016.

The previous prime is 1166417261. The next prime is 1166417281. The reversal of 1166417280 is 827146611.

It is a happy number.

1166417280 is a `hidden beast` number, since 1 + 1 + 6 + 641 + 7 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166417281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116139 + ... + 125781.

It is an arithmetic number, because the mean of its divisors is an integer number (18444150).

Almost surely, 2^1166417280 is an apocalyptic number.

1166417280 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 1166417280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2360851200).

1166417280 is an abundant number, since it is smaller than the sum of its proper divisors (3555285120).

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

1166417280 is an equidigital number, since it uses as much as digits as its factorization.

1166417280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9678 (or 9660 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1166417280 is about 34152.8517110943. The cubic root of 1166417280 is about 1052.6515839847.

The spelling of 1166417280 in words is "one billion, one hundred sixty-six million, four hundred seventeen thousand, two hundred eighty".