1166153680 has 20 divisors (see below), whose sum is σ = 2711307492. Its totient is φ = 466461440.

The previous prime is 1166153669. The next prime is 1166153689. The reversal of 1166153680 is 863516611.

It can be written as a sum of positive squares in 2 ways, for example, as 572549184 + 593604496 = 23928^2 + 24364^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166153689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7288381 + ... + 7288540.

Almost surely, 2^1166153680 is an apocalyptic number.

1166153680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166153680 is an abundant number, since it is smaller than the sum of its proper divisors (1545153812).

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

1166153680 is a wasteful number, since it uses less digits than its factorization.

1166153680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14576934 (or 14576928 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 1166153680 is about 34148.9923716645. The cubic root of 1166153680 is about 1052.5722813579.

It can be divided in two parts, 116615 and 3680, that added together give a triangular number (120295 = T₄₉₀).

The spelling of 1166153680 in words is "one billion, one hundred sixty-six million, one hundred fifty-three thousand, six hundred eighty".