166588416 has 78 divisors (see below), whose sum is σ = 481303160. Its totient is φ = 55517184.

The previous prime is 166588403. The next prime is 166588421. The reversal of 166588416 is 614885661.

166588416 is a `hidden beast` number, since 1 + 66 + 588 + 4 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34605 + ... + 39123.

Almost surely, 2^166588416 is an apocalyptic number.

166588416 is a gapful number since it is divisible by the number (16) 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 166588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240651580).

166588416 is an abundant number, since it is smaller than the sum of its proper divisors (314714744).

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

166588416 is an equidigital number, since it uses as much as digits as its factorization.

166588416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4549 (or 4524 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 166588416 is about 12906.9134962624. The cubic root of 166588416 is about 550.2350686639.

The spelling of 166588416 in words is "one hundred sixty-six million, five hundred eighty-eight thousand, four hundred sixteen".