166262880 has 144 divisors (see below), whose sum is σ = 609320880. Its totient is φ = 37997568.

The previous prime is 166262857. The next prime is 166262891. The reversal of 166262880 is 88262661.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 19986 + ... + 27054.

It is an arithmetic number, because the mean of its divisors is an integer number (4231395).

Almost surely, 2^166262880 is an apocalyptic number.

166262880 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 166262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304660440).

166262880 is an abundant number, since it is smaller than the sum of its proper divisors (443058000).

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

166262880 is a wasteful number, since it uses less digits than its factorization.

166262880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 166262880 is about 12894.2964135311. The cubic root of 166262880 is about 549.8764240272.

The spelling of 166262880 in words is "one hundred sixty-six million, two hundred sixty-two thousand, eight hundred eighty".