10268424 has 64 divisors (see below), whose sum is σ = 28814400. Its totient is φ = 3388032.

The previous prime is 10268413. The next prime is 10268431. The reversal of 10268424 is 42486201.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29419 + ... + 29765.

It is an arithmetic number, because the mean of its divisors is an integer number (450225).

Almost surely, 2^10268424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10268424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14407200).

10268424 is an abundant number, since it is smaller than the sum of its proper divisors (18545976).

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

10268424 is a wasteful number, since it uses less digits than its factorization.

10268424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 10268424 is about 3204.4381722854. The cubic root of 10268424 is about 217.3541471612.

The spelling of 10268424 in words is "ten million, two hundred sixty-eight thousand, four hundred twenty-four".