166496256 has 96 divisors (see below), whose sum is σ = 493365600. Its totient is φ = 55480320.

The previous prime is 166496227. The next prime is 166496261. The reversal of 166496256 is 652694661.

166496256 is a `hidden beast` number, since 16 + 6 + 4 + 9 + 625 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53791 + ... + 56801.

It is an arithmetic number, because the mean of its divisors is an integer number (5139225).

Almost surely, 2^166496256 is an apocalyptic number.

166496256 is a gapful number since it is divisible by the number (16) 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 166496256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246682800).

166496256 is an abundant number, since it is smaller than the sum of its proper divisors (326869344).

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

166496256 is an equidigital number, since it uses as much as digits as its factorization.

166496256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3016 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 166496256 is about 12903.3428226952. The cubic root of 166496256 is about 550.1335829800.

The spelling of 166496256 in words is "one hundred sixty-six million, four hundred ninety-six thousand, two hundred fifty-six".