10866464 has 48 divisors (see below), whose sum is σ = 24696000. Its totient is φ = 4610304.

The previous prime is 10866437. The next prime is 10866467. The reversal of 10866464 is 46466801.

It is not an unprimeable number, because it can be changed into a prime (10866467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30962 + ... + 31310.

It is an arithmetic number, because the mean of its divisors is an integer number (514500).

Almost surely, 2^10866464 is an apocalyptic number.

10866464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10866464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348000).

10866464 is an abundant number, since it is smaller than the sum of its proper divisors (13829536).

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

10866464 is a wasteful number, since it uses less digits than its factorization.

10866464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 10866464 is about 3296.4320105229. The cubic root of 10866464 is about 221.4943989806.

The spelling of 10866464 in words is "ten million, eight hundred sixty-six thousand, four hundred sixty-four".