1166431104 has 96 divisors (see below), whose sum is σ = 3480935640. Its totient is φ = 388800000.

The previous prime is 1166431103. The next prime is 1166431117. The reversal of 1166431104 is 4011346611.

1166431104 is a `hidden beast` number, since 1 + 1 + 6 + 643 + 1 + 10 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166431103) 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 11 ways as a sum of consecutive naturals, for example, 12354 + ... + 49854.

Almost surely, 2^1166431104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740467820).

1166431104 is an abundant number, since it is smaller than the sum of its proper divisors (2314504536).

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

1166431104 is an frugal number, since it uses more digits than its factorization.

1166431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37530 (or 37506 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1166431104 is about 34153.0540947658. The cubic root of 1166431104 is about 1052.6557425302.

Adding to 1166431104 its reverse (4011346611), we get a palindrome (5177777715).

It can be divided in two parts, 11664 and 31104, that multiplied together give a 11-th power (362797056 = 6¹¹).

The spelling of 1166431104 in words is "one billion, one hundred sixty-six million, four hundred thirty-one thousand, one hundred four".