80166384 has 60 divisors (see below), whose sum is σ = 227543472. Its totient is φ = 26342400.

The previous prime is 80166323. The next prime is 80166389. The reversal of 80166384 is 48366108.

It is a happy number.

80166384 is a `hidden beast` number, since 8 + 0 + 16 + 638 + 4 = 666.

It is a super-3 number, since 3×80166384³ (a number of 25 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80166389) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6304 + ... + 14144.

Almost surely, 2^80166384 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 80166384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113771736).

80166384 is an abundant number, since it is smaller than the sum of its proper divisors (147377088).

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

80166384 is a wasteful number, since it uses less digits than its factorization.

80166384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7926 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 80166384 is about 8953.5682272488. The cubic root of 80166384 is about 431.1854507042.

It can be divided in two parts, 8016 and 6384, that added together give a square (14400 = 120²).

The spelling of 80166384 in words is "eighty million, one hundred sixty-six thousand, three hundred eighty-four".