10166256 has 80 divisors (see below), whose sum is σ = 29596320. Its totient is φ = 3340800.

The previous prime is 10166251. The next prime is 10166263. The reversal of 10166256 is 65266101.

It is a happy number.

It is a super-2 number, since 2×10166256² = 206705522115072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10166251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43516 + ... + 43748.

It is an arithmetic number, because the mean of its divisors is an integer number (369954).

Almost surely, 2^10166256 is an apocalyptic number.

10166256 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 10166256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14798160).

10166256 is an abundant number, since it is smaller than the sum of its proper divisors (19430064).

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

10166256 is a wasteful number, since it uses less digits than its factorization.

10166256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 10166256 is about 3188.4566799629. The cubic root of 10166256 is about 216.6308716673.

The spelling of 10166256 in words is "ten million, one hundred sixty-six thousand, two hundred fifty-six".