166205952 has 160 divisors (see below), whose sum is σ = 537197760. Its totient is φ = 50319360.

The previous prime is 166205947. The next prime is 166205969. The reversal of 166205952 is 259502661.

166205952 is a `hidden beast` number, since 1 + 6 + 62 + 0 + 595 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151518 + ... + 152610.

It is an arithmetic number, because the mean of its divisors is an integer number (3357486).

Almost surely, 2^166205952 is an apocalyptic number.

166205952 is a gapful number since it is divisible by the number (12) 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 166205952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268598880).

166205952 is an abundant number, since it is smaller than the sum of its proper divisors (370991808).

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

166205952 is a wasteful number, since it uses less digits than its factorization.

166205952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1131 (or 1109 counting only the distinct ones).

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

The square root of 166205952 is about 12892.0887368960. The cubic root of 166205952 is about 549.8136580860.

The spelling of 166205952 in words is "one hundred sixty-six million, two hundred five thousand, nine hundred fifty-two".