166609872 has 400 divisors, whose sum is σ = 604961280. Its totient is φ = 43545600.

The previous prime is 166609847. The next prime is 166609897. The reversal of 166609872 is 278906661.

166609872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (166609847) and next prime (166609897).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5374497 + ... + 5374527.

Almost surely, 2^166609872 is an apocalyptic number.

166609872 is a gapful number since it is divisible by the number (12) 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 166609872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302480640).

166609872 is an abundant number, since it is smaller than the sum of its proper divisors (438351408).

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

166609872 is a wasteful number, since it uses less digits than its factorization.

166609872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 166609872 is about 12907.7446519522. The cubic root of 166609872 is about 550.2586904281.

The spelling of 166609872 in words is "one hundred sixty-six million, six hundred nine thousand, eight hundred seventy-two".