166284080 has 20 divisors (see below), whose sum is σ = 386610672. Its totient is φ = 66513600.

The previous prime is 166284047. The next prime is 166284113. The reversal of 166284080 is 80482661.

It is an interprime number because it is at equal distance from previous prime (166284047) and next prime (166284113).

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×166284080² = 55300790522892800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 166284080.

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 3 ways as a sum of consecutive naturals, for example, 1039196 + ... + 1039355.

Almost surely, 2^166284080 is an apocalyptic number.

166284080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166284080 is an abundant number, since it is smaller than the sum of its proper divisors (220326592).

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

166284080 is a wasteful number, since it uses less digits than its factorization.

166284080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078564 (or 2078558 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 166284080 is about 12895.1184562221. The cubic root of 166284080 is about 549.8997944166.

The spelling of 166284080 in words is "one hundred sixty-six million, two hundred eighty-four thousand, eighty".