166719420 has 144 divisors (see below), whose sum is σ = 581188608. Its totient is φ = 37895040.

The previous prime is 166719419. The next prime is 166719451. The reversal of 166719420 is 24917661.

166719420 = T₁₃₉ + T₁₄₀ + ... + T₁₀₀₀.

166719420 is a `hidden beast` number, since 166 + 71 + 9 + 420 = 666.

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 47 ways as a sum of consecutive naturals, for example, 386605 + ... + 387035.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^166719420 is an apocalyptic number.

166719420 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 166719420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290594304).

166719420 is an abundant number, since it is smaller than the sum of its proper divisors (414469188).

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

166719420 is a wasteful number, since it uses less digits than its factorization.

166719420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760 (or 755 counting only the distinct ones).

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

The square root of 166719420 is about 12911.9874535255. The cubic root of 166719420 is about 550.3792645805.

The spelling of 166719420 in words is "one hundred sixty-six million, seven hundred nineteen thousand, four hundred twenty".