166896288 has 216 divisors, whose sum is σ = 537159168. Its totient is φ = 50948352.

The previous prime is 166896253. The next prime is 166896313. The reversal of 166896288 is 882698661.

It is a happy number.

166896288 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 9 + 628 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1314081 + ... + 1314207.

It is an arithmetic number, because the mean of its divisors is an integer number (2486848).

Almost surely, 2^166896288 is an apocalyptic number.

166896288 is a gapful number since it is divisible by the number (18) 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 166896288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268579584).

166896288 is an abundant number, since it is smaller than the sum of its proper divisors (370262880).

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

166896288 is a wasteful number, since it uses less digits than its factorization.

166896288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 145 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The square root of 166896288 is about 12918.8346223644. The cubic root of 166896288 is about 550.5738231522.

The spelling of 166896288 in words is "one hundred sixty-six million, eight hundred ninety-six thousand, two hundred eighty-eight".