10269952 has 72 divisors (see below), whose sum is σ = 25607232. Its totient is φ = 3993600.

The previous prime is 10269949. The next prime is 10269997. The reversal of 10269952 is 25996201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19452 + ... + 19972.

It is an arithmetic number, because the mean of its divisors is an integer number (355656).

Almost surely, 2^10269952 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 10269952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12803616).

10269952 is an abundant number, since it is smaller than the sum of its proper divisors (15337280).

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

10269952 is an equidigital number, since it uses as much as digits as its factorization.

10269952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 10269952 is about 3204.6765827459. The cubic root of 10269952 is about 217.3649278050.

It can be divided in two parts, 10 and 269952, that added together give a palindrome (269962).

The spelling of 10269952 in words is "ten million, two hundred sixty-nine thousand, nine hundred fifty-two".