166461600 has 144 divisors (see below), whose sum is σ = 554776992. Its totient is φ = 43330560.

The previous prime is 166461593. The next prime is 166461629. The reversal of 166461600 is 6164661.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 102394 + ... + 104006.

It is an arithmetic number, because the mean of its divisors is an integer number (3852618).

Almost surely, 2^166461600 is an apocalyptic number.

166461600 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 166461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277388496).

166461600 is an abundant number, since it is smaller than the sum of its proper divisors (388315392).

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

166461600 is a wasteful number, since it uses less digits than its factorization.

166461600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1666 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 166461600 is about 12901.9998449853. Note that the first 3 decimals coincide. The cubic root of 166461600 is about 550.0954104451.

The spelling of 166461600 in words is "one hundred sixty-six million, four hundred sixty-one thousand, six hundred".