166629960 has 384 divisors, whose sum is σ = 670924800. Its totient is φ = 36391680.

The previous prime is 166629919. The next prime is 166629961. The reversal of 166629960 is 69926661.

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

It is not an unprimeable number, because it can be changed into a prime (166629961) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 2109201 + ... + 2109279.

It is an arithmetic number, because the mean of its divisors is an integer number (1747200).

Almost surely, 2^166629960 is an apocalyptic number.

166629960 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 166629960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335462400).

166629960 is an abundant number, since it is smaller than the sum of its proper divisors (504294840).

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

166629960 is a wasteful number, since it uses less digits than its factorization.

166629960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 166629960 is about 12908.5227659868. The cubic root of 166629960 is about 550.2808042685.

It can be divided in two parts, 1666 and 29960, that added together give a triangular number (31626 = T₂₅₁).

The spelling of 166629960 in words is "one hundred sixty-six million, six hundred twenty-nine thousand, nine hundred sixty".