1161666080 has 96 divisors (see below), whose sum is σ = 2911930560. Its totient is φ = 436700160.

The previous prime is 1161666059. The next prime is 1161666101. The reversal of 1161666080 is 806661611.

It is an interprime number because it is at equal distance from previous prime (1161666059) and next prime (1161666101).

It is a self number, because there is not a number n which added to its sum of digits gives 1161666080.

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, 396782 + ... + 399698.

It is an arithmetic number, because the mean of its divisors is an integer number (30332610).

Almost surely, 2^1161666080 is an apocalyptic number.

1161666080 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 1161666080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1455965280).

1161666080 is an abundant number, since it is smaller than the sum of its proper divisors (1750264480).

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

1161666080 is a wasteful number, since it uses less digits than its factorization.

1161666080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3074 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 1161666080 is about 34083.2228523067. Note that the first 3 decimals coincide. The cubic root of 1161666080 is about 1051.2203739525.

The spelling of 1161666080 in words is "one billion, one hundred sixty-one million, six hundred sixty-six thousand, eighty".