166410720 has 192 divisors, whose sum is σ = 665763840. Its totient is φ = 38029824.

The previous prime is 166410709. The next prime is 166410733. The reversal of 166410720 is 27014661.

166410720 is a `hidden beast` number, since 16 + 641 + 0 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27489 + ... + 32991.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520).

Almost surely, 2^166410720 is an apocalyptic number.

166410720 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 166410720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332881920).

166410720 is an abundant number, since it is smaller than the sum of its proper divisors (499353120).

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

166410720 is a wasteful number, since it uses less digits than its factorization.

166410720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5534 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 166410720 is about 12900.0279069466. The cubic root of 166410720 is about 550.0393580650.

The spelling of 166410720 in words is "one hundred sixty-six million, four hundred ten thousand, seven hundred twenty".