10526768 has 60 divisors (see below), whose sum is σ = 24596640. Its totient is φ = 4346496.

The previous prime is 10526753. The next prime is 10526771. The reversal of 10526768 is 86762501.

It is a super-2 number, since 2×10526768² = 221625689051648, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22505 + ... + 22967.

It is an arithmetic number, because the mean of its divisors is an integer number (409944).

Almost surely, 2^10526768 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 10526768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12298320).

10526768 is an abundant number, since it is smaller than the sum of its proper divisors (14069872).

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

10526768 is a wasteful number, since it uses less digits than its factorization.

10526768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 10526768 is about 3244.4981121893. The cubic root of 10526768 is about 219.1618799927.

The spelling of 10526768 in words is "ten million, five hundred twenty-six thousand, seven hundred sixty-eight".