10268544 has 192 divisors, whose sum is σ = 34186320. Its totient is φ = 2703360.

The previous prime is 10268539. The next prime is 10268549. The reversal of 10268544 is 44586201.

It is an interprime number because it is at equal distance from previous prime (10268539) and next prime (10268549).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10268549) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 604024 + ... + 604040.

Almost surely, 2^10268544 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 10268544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17093160).

10268544 is an abundant number, since it is smaller than the sum of its proper divisors (23917776).

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

10268544 is a wasteful number, since it uses less digits than its factorization.

10268544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 10268544 is about 3204.4568962618. The cubic root of 10268544 is about 217.3549938473.

The spelling of 10268544 in words is "ten million, two hundred sixty-eight thousand, five hundred forty-four".