1166671872 has 216 divisors, whose sum is σ = 3598699104. Its totient is φ = 363331584.

The previous prime is 1166671859. The next prime is 1166671879. The reversal of 1166671872 is 2781766611.

It is a super-2 number, since 2×1166671872² = 2722246513831968768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1166671879) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27131883 + ... + 27131925.

It is an arithmetic number, because the mean of its divisors is an integer number (16660644).

Almost surely, 2^1166671872 is an apocalyptic number.

1166671872 is a gapful number since it is divisible by the number (12) 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 1166671872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799349552).

1166671872 is an abundant number, since it is smaller than the sum of its proper divisors (2432027232).

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

1166671872 is an frugal number, since it uses more digits than its factorization.

1166671872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1166671872 is about 34156.5787513914. The cubic root of 1166671872 is about 1052.7281652622.

It can be divided in two parts, 11666 and 71872, that added together give a palindrome (83538).

The spelling of 1166671872 in words is "one billion, one hundred sixty-six million, six hundred seventy-one thousand, eight hundred seventy-two".