166349736 has 96 divisors (see below), whose sum is σ = 517420800. Its totient is φ = 47295360.

The previous prime is 166349719. The next prime is 166349737. The reversal of 166349736 is 637943661.

166349736 is a `hidden beast` number, since 1 + 6 + 634 + 9 + 7 + 3 + 6 = 666.

166349736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 166349691 and 166349700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166349737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119766 + ... + 121146.

It is an arithmetic number, because the mean of its divisors is an integer number (5389800).

Almost surely, 2^166349736 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 166349736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258710400).

166349736 is an abundant number, since it is smaller than the sum of its proper divisors (351071064).

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

166349736 is a wasteful number, since it uses less digits than its factorization.

166349736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1632 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 166349736 is about 12897.6639745343. The cubic root of 166349736 is about 549.9721594723.

The spelling of 166349736 in words is "one hundred sixty-six million, three hundred forty-nine thousand, seven hundred thirty-six".