166382800 has 30 divisors (see below), whose sum is σ = 399735638. Its totient is φ = 66552960.

The previous prime is 166382761. The next prime is 166382803. The reversal of 166382800 is 8283661.

166382800 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12027024 + 154355776 = 3468^2 + 12424^2 .

It is a super-2 number, since 2×166382800² = 55366472271680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166382803) 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, 207579 + ... + 208378.

Almost surely, 2^166382800 is an apocalyptic number.

166382800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166382800 is an abundant number, since it is smaller than the sum of its proper divisors (233352838).

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

166382800 is a wasteful number, since it uses less digits than its factorization.

166382800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415975 (or 415964 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 166382800 is about 12898.9456933503. The cubic root of 166382800 is about 550.0085949070.

The spelling of 166382800 in words is "one hundred sixty-six million, three hundred eighty-two thousand, eight hundred".