1166408064 has 48 divisors (see below), whose sum is σ = 3356464020. Its totient is φ = 388802304.

The previous prime is 1166408021. The next prime is 1166408069. The reversal of 1166408064 is 4608046611.

1166408064 is a `hidden beast` number, since 1 + 1 + 6 + 640 + 8 + 0 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (1166408069) 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 5 ways as a sum of consecutive naturals, for example, 505102 + ... + 507405.

Almost surely, 2^1166408064 is an apocalyptic number.

It is an amenable number.

1166408064 is an abundant number, since it is smaller than the sum of its proper divisors (2190055956).

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

1166408064 is a wasteful number, since it uses less digits than its factorization.

1166408064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012527 (or 1012512 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1166408064 is about 34152.7167879804. The cubic root of 1166408064 is about 1052.6488116028.

The spelling of 1166408064 in words is "one billion, one hundred sixty-six million, four hundred eight thousand, sixty-four".