166261200 has 120 divisors (see below), whose sum is σ = 608705088. Its totient is φ = 38000640.

The previous prime is 166261171. The next prime is 166261211. The reversal of 166261200 is 2162661.

166261200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1497 + ... + 18296.

Almost surely, 2^166261200 is an apocalyptic number.

166261200 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 166261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304352544).

166261200 is an abundant number, since it is smaller than the sum of its proper divisors (442443888).

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

166261200 is a wasteful number, since it uses less digits than its factorization.

166261200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19821 (or 19810 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 166261200 is about 12894.2312682843. The cubic root of 166261200 is about 549.8745719491.

The spelling of 166261200 in words is "one hundred sixty-six million, two hundred sixty-one thousand, two hundred".