166417920 has 240 divisors, whose sum is σ = 597497472. Its totient is φ = 42762240.

The previous prime is 166417919. The next prime is 166417931. The reversal of 166417920 is 29714661.

166417920 is a `hidden beast` number, since 1 + 6 + 641 + 7 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 714124 + ... + 714356.

Almost surely, 2^166417920 is an apocalyptic number.

166417920 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 166417920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298748736).

166417920 is an abundant number, since it is smaller than the sum of its proper divisors (431079552).

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

166417920 is a wasteful number, since it uses less digits than its factorization.

166417920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 166417920 is about 12900.3069730918. The cubic root of 166417920 is about 550.0472906995.

The spelling of 166417920 in words is "one hundred sixty-six million, four hundred seventeen thousand, nine hundred twenty".