166429120 has 112 divisors (see below), whose sum is σ = 465722208. Its totient is φ = 55848960.

The previous prime is 166429103. The next prime is 166429141. The reversal of 166429120 is 21924661.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43942 + ... + 47578.

It is an arithmetic number, because the mean of its divisors is an integer number (4158234).

Almost surely, 2^166429120 is an apocalyptic number.

166429120 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 166429120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232861104).

166429120 is an abundant number, since it is smaller than the sum of its proper divisors (299293088).

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

166429120 is a wasteful number, since it uses less digits than its factorization.

166429120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3678 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 166429120 is about 12900.7410639854. The cubic root of 166429120 is about 550.0596298984.

The spelling of 166429120 in words is "one hundred sixty-six million, four hundred twenty-nine thousand, one hundred twenty".