10292256 has 72 divisors (see below), whose sum is σ = 31531500. Its totient is φ = 3165696.

The previous prime is 10292251. The next prime is 10292257. The reversal of 10292256 is 65229201.

It can be written as a sum of positive squares in 2 ways, for example, as 8643600 + 1648656 = 2940^2 + 1284^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (10292251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2370 + ... + 5118.

Almost surely, 2^10292256 is an apocalyptic number.

10292256 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 10292256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15765750).

10292256 is an abundant number, since it is smaller than the sum of its proper divisors (21239244).

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

10292256 is a wasteful number, since it uses less digits than its factorization.

10292256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 2767 counting only the distinct ones).

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

The square root of 10292256 is about 3208.1546097406. The cubic root of 10292256 is about 217.5221697576.

The spelling of 10292256 in words is "ten million, two hundred ninety-two thousand, two hundred fifty-six".