166411296 has 36 divisors (see below), whose sum is σ = 473232942. Its totient is φ = 55470336.

The previous prime is 166411277. The next prime is 166411303. The reversal of 166411296 is 692114661.

166411296 is a `hidden beast` number, since 1 + 6 + 641 + 1 + 2 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 166410000 + 1296 = 12900^2 + 36^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 166411296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288621 + ... + 289196.

Almost surely, 2^166411296 is an apocalyptic number.

166411296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

166411296 is an abundant number, since it is smaller than the sum of its proper divisors (306821646).

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

166411296 is a wasteful number, since it uses less digits than its factorization.

166411296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577833 (or 577822 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 166411296 is about 12900.0502324603. The cubic root of 166411296 is about 550.0399926842.

It can be divided in two parts, 16641 and 1296, that multiplied together give a square (21566736 = 4644²).

The spelling of 166411296 in words is "one hundred sixty-six million, four hundred eleven thousand, two hundred ninety-six".