166506516 has 168 divisors, whose sum is σ = 495784800. Its totient is φ = 48444480.

The previous prime is 166506493. The next prime is 166506533. The reversal of 166506516 is 615605661.

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 55 ways as a sum of consecutive naturals, for example, 930115 + ... + 930293.

It is an arithmetic number, because the mean of its divisors is an integer number (2951100).

Almost surely, 2^166506516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166506516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247892400).

166506516 is an abundant number, since it is smaller than the sum of its proper divisors (329278284).

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

166506516 is a wasteful number, since it uses less digits than its factorization.

166506516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 166506516 is about 12903.7403879650. The cubic root of 166506516 is about 550.1448830431.

The spelling of 166506516 in words is "one hundred sixty-six million, five hundred six thousand, five hundred sixteen".