166292640 has 144 divisors (see below), whose sum is σ = 600942888. Its totient is φ = 41730048.

The previous prime is 166292639. The next prime is 166292647. The reversal of 166292640 is 46292661.

166292640 is a `hidden beast` number, since 1 + 6 + 6 + 2 + 9 + 2 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 121616784 + 44675856 = 11028^2 + 6684^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 166292595 and 166292604.

It is not an unprimeable number, because it can be changed into a prime (166292647) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 21084 + ... + 27876.

Almost surely, 2^166292640 is an apocalyptic number.

166292640 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 166292640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300471444).

166292640 is an abundant number, since it is smaller than the sum of its proper divisors (434650248).

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

166292640 is a wasteful number, since it uses less digits than its factorization.

166292640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6831 (or 6820 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 166292640 is about 12895.4503604954. The cubic root of 166292640 is about 549.9092301996.

The spelling of 166292640 in words is "one hundred sixty-six million, two hundred ninety-two thousand, six hundred forty".