10538268 has 48 divisors (see below), whose sum is σ = 27113856. Its totient is φ = 3165120.

The previous prime is 10538257. The next prime is 10538279. The reversal of 10538268 is 86283501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10538257) and next prime (10538279).

It is a super-2 number, since 2×10538268² = 222110184879648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5923 + ... + 7493.

It is an arithmetic number, because the mean of its divisors is an integer number (564872).

Almost surely, 2^10538268 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 10538268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13556928).

10538268 is an abundant number, since it is smaller than the sum of its proper divisors (16575588).

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

10538268 is a wasteful number, since it uses less digits than its factorization.

10538268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1632 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 10538268 is about 3246.2698593925. The cubic root of 10538268 is about 219.2416589709.

The spelling of 10538268 in words is "ten million, five hundred thirty-eight thousand, two hundred sixty-eight".