166401288 has 48 divisors (see below), whose sum is σ = 461670300. Its totient is φ = 54113280.

The previous prime is 166401239. The next prime is 166401289. The reversal of 166401288 is 882104661.

166401288 is a `hidden beast` number, since 1 + 6 + 640 + 1 + 2 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121484484 + 44916804 = 11022^2 + 6702^2 .

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

It is not an unprimeable number, because it can be changed into a prime (166401289) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25233 + ... + 31136.

Almost surely, 2^166401288 is an apocalyptic number.

166401288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

166401288 is an abundant number, since it is smaller than the sum of its proper divisors (295269012).

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

166401288 is a wasteful number, since it uses less digits than its factorization.

166401288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56422 (or 56415 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 166401288 is about 12899.6623211617. The cubic root of 166401288 is about 550.0289659676.

It can be divided in two parts, 1664012 and 88, that added together give a square (1664100 = 1290²).

The spelling of 166401288 in words is "one hundred sixty-six million, four hundred one thousand, two hundred eighty-eight".