166449600 has 168 divisors, whose sum is σ = 606927920. Its totient is φ = 44375040.

The previous prime is 166449593. The next prime is 166449623. The reversal of 166449600 is 6944661.

166449600 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 49 + 600 = 666.

166449600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41274 + ... + 45126.

Almost surely, 2^166449600 is an apocalyptic number.

166449600 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 166449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303463960).

166449600 is an abundant number, since it is smaller than the sum of its proper divisors (440478320).

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

166449600 is a wasteful number, since it uses less digits than its factorization.

166449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166449600 is about 12901.5347924191. The cubic root of 166449600 is about 550.0821915735.

It can be divided in two parts, 16644 and 9600, that added together give a square (26244 = 162²).

The spelling of 166449600 in words is "one hundred sixty-six million, four hundred forty-nine thousand, six hundred".