1166745600 has 336 divisors, whose sum is σ = 4306763040. Its totient is φ = 309657600.

The previous prime is 1166745577. The next prime is 1166745607. The reversal of 1166745600 is 65476611.

1166745600 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 7 + 45 + 600 = 666.

It is a super-2 number, since 2×1166745600² = 2722590590238720000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1166745607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5529495 + ... + 5529705.

Almost surely, 2^1166745600 is an apocalyptic number.

1166745600 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 1166745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2153381520).

1166745600 is an abundant number, since it is smaller than the sum of its proper divisors (3140017440).

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

1166745600 is an equidigital number, since it uses as much as digits as its factorization.

1166745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1166745600 is about 34157.6579993418. The cubic root of 1166745600 is about 1052.7503405653.

The spelling of 1166745600 in words is "one billion, one hundred sixty-six million, seven hundred forty-five thousand, six hundred".