166412610 has 192 divisors, whose sum is σ = 550229760. Its totient is φ = 35043840.

The previous prime is 166412581. The next prime is 166412629. The reversal of 166412610 is 16214661.

166412610 is a `hidden beast` number, since 1 + 6 + 6 + 41 + 2 + 610 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 319150 + ... + 319670.

It is an arithmetic number, because the mean of its divisors is an integer number (2865780).

Almost surely, 2^166412610 is an apocalyptic number.

166412610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166412610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275114880).

166412610 is an abundant number, since it is smaller than the sum of its proper divisors (383817150).

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

166412610 is a wasteful number, since it uses less digits than its factorization.

166412610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 166412610 is about 12900.1011623940. The cubic root of 166412610 is about 550.0414404037.

The spelling of 166412610 in words is "one hundred sixty-six million, four hundred twelve thousand, six hundred ten".