1166800 has 30 divisors (see below), whose sum is σ = 2804198. Its totient is φ = 466560.

The previous prime is 1166779. The next prime is 1166801. The reversal of 1166800 is 86611.

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 767376 = 632^2 + 876^2 .

It is a super-2 number, since 2×1166800² = 2722844480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1166801) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1059 + ... + 1858.

2^1166800 is an apocalyptic number.

1166800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166800 is an abundant number, since it is smaller than the sum of its proper divisors (1637398).

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

1166800 is a wasteful number, since it uses less digits than its factorization.

1166800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 1166800 is about 1080.1851693113. The cubic root of 1166800 is about 105.2766701952.

The spelling of 1166800 in words is "one million, one hundred sixty-six thousand, eight hundred".