166856900 has 72 divisors (see below), whose sum is σ = 415598400. Its totient is φ = 56960640.

The previous prime is 166856869. The next prime is 166856941. The reversal of 166856900 is 9658661.

It is a super-2 number, since 2×166856900² = 55682450155220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243959 + ... + 244641.

It is an arithmetic number, because the mean of its divisors is an integer number (5772200).

Almost surely, 2^166856900 is an apocalyptic number.

166856900 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 166856900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207799200).

166856900 is an abundant number, since it is smaller than the sum of its proper divisors (248741500).

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

166856900 is a wasteful number, since it uses less digits than its factorization.

166856900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The square root of 166856900 is about 12917.3100915012. The cubic root of 166856900 is about 550.5305074136.

The spelling of 166856900 in words is "one hundred sixty-six million, eight hundred fifty-six thousand, nine hundred".