166214880 has 216 divisors, whose sum is σ = 615095208. Its totient is φ = 40854528.

The previous prime is 166214879. The next prime is 166214953. The reversal of 166214880 is 88412661.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243019 + ... + 243701.

It is an arithmetic number, because the mean of its divisors is an integer number (2847663).

Almost surely, 2^166214880 is an apocalyptic number.

166214880 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 166214880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307547604).

166214880 is an abundant number, since it is smaller than the sum of its proper divisors (448880328).

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

166214880 is a wasteful number, since it uses less digits than its factorization.

166214880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 166214880 is about 12892.4349911101. The cubic root of 166214880 is about 549.8235025959.

The spelling of 166214880 in words is "one hundred sixty-six million, two hundred fourteen thousand, eight hundred eighty".