10765248 has 112 divisors (see below), whose sum is σ = 32430720. Its totient is φ = 3124224.

The previous prime is 10765241. The next prime is 10765253. The reversal of 10765248 is 84256701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10765241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47311 + ... + 47537.

It is an arithmetic number, because the mean of its divisors is an integer number (289560).

Almost surely, 2^10765248 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 10765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215360).

10765248 is an abundant number, since it is smaller than the sum of its proper divisors (21665472).

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

10765248 is a wasteful number, since it uses less digits than its factorization.

10765248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 10765248 is about 3281.0437363741. The cubic root of 10765248 is about 220.8045472703.

The spelling of 10765248 in words is "ten million, seven hundred sixty-five thousand, two hundred forty-eight".