166849560 has 192 divisors, whose sum is σ = 581256000. Its totient is φ = 41361408.

The previous prime is 166849549. The next prime is 166849619. The reversal of 166849560 is 65948661.

166849560 is a `hidden beast` number, since 1 + 6 + 6 + 84 + 9 + 560 = 666.

166849560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 838341 + ... + 838539.

It is an arithmetic number, because the mean of its divisors is an integer number (3027375).

Almost surely, 2^166849560 is an apocalyptic number.

166849560 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 166849560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290628000).

166849560 is an abundant number, since it is smaller than the sum of its proper divisors (414406440).

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

166849560 is a wasteful number, since it uses less digits than its factorization.

166849560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 166849560 is about 12917.0259734972. The cubic root of 166849560 is about 550.5224347214.

It can be divided in two parts, 16684 and 9560, that added together give a square (26244 = 162²).

The spelling of 166849560 in words is "one hundred sixty-six million, eight hundred forty-nine thousand, five hundred sixty".