166239360 has 576 divisors, whose sum is σ = 725587200. Its totient is φ = 34836480.

The previous prime is 166239313. The next prime is 166239361. The reversal of 166239360 is 63932661.

166239360 is a `hidden beast` number, since 1 + 66 + 239 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (166239361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5362545 + ... + 5362575.

It is an arithmetic number, because the mean of its divisors is an integer number (1259700).

Almost surely, 2^166239360 is an apocalyptic number.

166239360 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 166239360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362793600).

166239360 is an abundant number, since it is smaller than the sum of its proper divisors (559347840).

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

166239360 is a wasteful number, since it uses less digits than its factorization.

166239360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 166239360 is about 12893.3843501231. The cubic root of 166239360 is about 549.8504937988.

The spelling of 166239360 in words is "one hundred sixty-six million, two hundred thirty-nine thousand, three hundred sixty".