1166434720 has 192 divisors, whose sum is σ = 3135283200. Its totient is φ = 406389760.

The previous prime is 1166434667. The next prime is 1166434721. The reversal of 1166434720 is 274346611.

It is not an unprimeable number, because it can be changed into a prime (1166434721) 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, 4880361 + ... + 4880599.

It is an arithmetic number, because the mean of its divisors is an integer number (16329600).

Almost surely, 2^1166434720 is an apocalyptic number.

1166434720 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 1166434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567641600).

1166434720 is an abundant number, since it is smaller than the sum of its proper divisors (1968848480).

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

1166434720 is a wasteful number, since it uses less digits than its factorization.

1166434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 1166434720 is about 34153.1070328894. The cubic root of 1166434720 is about 1052.6568302925.

The spelling of 1166434720 in words is "one billion, one hundred sixty-six million, four hundred thirty-four thousand, seven hundred twenty".