166011600 has 120 divisors (see below), whose sum is σ = 546309280. Its totient is φ = 43061760.

The previous prime is 166011557. The next prime is 166011623. The reversal of 166011600 is 6110661.

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

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, 42531 + ... + 46269.

Almost surely, 2^166011600 is an apocalyptic number.

166011600 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 166011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273154640).

166011600 is an abundant number, since it is smaller than the sum of its proper divisors (380297680).

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

166011600 is a wasteful number, since it uses less digits than its factorization.

166011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 166011600 is about 12884.5488861659. The cubic root of 166011600 is about 549.5992673238.

The spelling of 166011600 in words is "one hundred sixty-six million, eleven thousand, six hundred".