1166741664 has 96 divisors (see below), whose sum is σ = 3517032960. Its totient is φ = 334944000.

The previous prime is 1166741657. The next prime is 1166741687. The reversal of 1166741664 is 4661476611.

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

It is a super-2 number, since 2×1166741664² = 2722572221026977792, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9012 + ... + 49139.

It is an arithmetic number, because the mean of its divisors is an integer number (36635760).

Almost surely, 2^1166741664 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 1166741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758516480).

1166741664 is an abundant number, since it is smaller than the sum of its proper divisors (2350291296).

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

1166741664 is a wasteful number, since it uses less digits than its factorization.

1166741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58194 (or 58186 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 1166741664 is about 34157.6003841019. The cubic root of 1166741664 is about 1052.7491567511.

It can be divided in two parts, 116674166 and 4, that multiplied together give a palindrome (466696664).

The spelling of 1166741664 in words is "one billion, one hundred sixty-six million, seven hundred forty-one thousand, six hundred sixty-four".