166640256 has 192 divisors, whose sum is σ = 519367680. Its totient is φ = 51093504.

The previous prime is 166640233. The next prime is 166640263. The reversal of 166640256 is 652046661.

It is a happy number.

166640256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 166640256.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1312065 + ... + 1312191.

It is an arithmetic number, because the mean of its divisors is an integer number (2705040).

Almost surely, 2^166640256 is an apocalyptic number.

166640256 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 166640256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259683840).

166640256 is an abundant number, since it is smaller than the sum of its proper divisors (352727424).

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

166640256 is a wasteful number, since it uses less digits than its factorization.

166640256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 166640256 is about 12908.9215661108. The cubic root of 166640256 is about 550.2921379135.

The spelling of 166640256 in words is "one hundred sixty-six million, six hundred forty thousand, two hundred fifty-six".