166412064 has 192 divisors, whose sum is σ = 551384064. Its totient is φ = 42771456.

The previous prime is 166412047. The next prime is 166412069. The reversal of 166412064 is 460214661.

It is not an unprimeable number, because it can be changed into a prime (166412069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375427 + ... + 375869.

It is an arithmetic number, because the mean of its divisors is an integer number (2871792).

Almost surely, 2^166412064 is an apocalyptic number.

166412064 is a gapful number since it is divisible by the number (14) 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 166412064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275692032).

166412064 is an abundant number, since it is smaller than the sum of its proper divisors (384972000).

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

166412064 is a wasteful number, since it uses less digits than its factorization.

166412064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 166412064 is about 12900.0799997519. The cubic root of 166412064 is about 550.0408388408.

The spelling of 166412064 in words is "one hundred sixty-six million, four hundred twelve thousand, sixty-four".