166001200 has 60 divisors (see below), whose sum is σ = 400821568. Its totient is φ = 66067200.

The previous prime is 166001177. The next prime is 166001207. The reversal of 166001200 is 2100661.

166001200 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 (16).

It is not an unprimeable number, because it can be changed into a prime (166001207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88270 + ... + 90130.

Almost surely, 2^166001200 is an apocalyptic number.

166001200 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 166001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200410784).

166001200 is an abundant number, since it is smaller than the sum of its proper divisors (234820368).

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

166001200 is a wasteful number, since it uses less digits than its factorization.

166001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 2091 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 166001200 is about 12884.1452956725. The cubic root of 166001200 is about 549.5877903110.

Adding to 166001200 its reverse (2100661), we get a palindrome (168101861).

The spelling of 166001200 in words is "one hundred sixty-six million, one thousand, two hundred".