10966648 has 64 divisors (see below), whose sum is σ = 27014400. Its totient is φ = 4043520.

The previous prime is 10966633. The next prime is 10966661. The reversal of 10966648 is 84666901.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10966648.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11236 + ... + 12172.

It is an arithmetic number, because the mean of its divisors is an integer number (422100).

Almost surely, 2^10966648 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 10966648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13507200).

10966648 is an abundant number, since it is smaller than the sum of its proper divisors (16047752).

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

10966648 is a wasteful number, since it uses less digits than its factorization.

10966648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 10966648 is about 3311.5929701580. The cubic root of 10966648 is about 222.1730112512.

It can be divided in two parts, 1096 and 6648, that added together give a square (7744 = 88²).

The spelling of 10966648 in words is "ten million, nine hundred sixty-six thousand, six hundred forty-eight".