1166621600 has 72 divisors (see below), whose sum is σ = 3015580428. Its totient is φ = 439193600.

The previous prime is 1166621593. The next prime is 1166621633. The reversal of 1166621600 is 61266611.

It can be written as a sum of positive squares in 6 ways, for example, as 871194256 + 295427344 = 29516^2 + 17188^2 .

It is a super-3 number, since 3×1166621600³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29291 + ... + 56490.

Almost surely, 2^1166621600 is an apocalyptic number.

1166621600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166621600 is an abundant number, since it is smaller than the sum of its proper divisors (1848958828).

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

1166621600 is a wasteful number, since it uses less digits than its factorization.

1166621600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85818 (or 85805 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1166621600 is about 34155.8428383783. The cubic root of 1166621600 is about 1052.7130443266.

The spelling of 1166621600 in words is "one billion, one hundred sixty-six million, six hundred twenty-one thousand, six hundred".