1166309820 has 384 divisors, whose sum is σ = 4292870400. Its totient is φ = 260112384.

The previous prime is 1166309801. The next prime is 1166309839. The reversal of 1166309820 is 289036611.

1166309820 is a `hidden beast` number, since 1 + 16 + 630 + 9 + 8 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1166309801) and next prime (1166309839).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3460692 + ... + 3461028.

It is an arithmetic number, because the mean of its divisors is an integer number (11179350).

Almost surely, 2^1166309820 is an apocalyptic number.

1166309820 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 1166309820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146435200).

1166309820 is an abundant number, since it is smaller than the sum of its proper divisors (3126560580).

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

1166309820 is a wasteful number, since it uses less digits than its factorization.

1166309820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1166309820 is about 34151.2784533757. The cubic root of 1166309820 is about 1052.6192566707.

The spelling of 1166309820 in words is "one billion, one hundred sixty-six million, three hundred nine thousand, eight hundred twenty".