10511648 has 48 divisors (see below), whose sum is σ = 23877504. Its totient is φ = 4462080.

The previous prime is 10511647. The next prime is 10511681. The reversal of 10511648 is 84611501.

It is a super-2 number, since 2×10511648² = 220989487351808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10511647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37268 + ... + 37548.

It is an arithmetic number, because the mean of its divisors is an integer number (497448).

Almost surely, 2^10511648 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 10511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938752).

10511648 is an abundant number, since it is smaller than the sum of its proper divisors (13365856).

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

10511648 is a wasteful number, since it uses less digits than its factorization.

10511648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 10511648 is about 3242.1671764423. The cubic root of 10511648 is about 219.0568995138.

The spelling of 10511648 in words is "ten million, five hundred eleven thousand, six hundred forty-eight".