10866240 has 336 divisors, whose sum is σ = 47548800. Its totient is φ = 2257920.

The previous prime is 10866227. The next prime is 10866253. The reversal of 10866240 is 4266801.

It is an interprime number because it is at equal distance from previous prime (10866227) and next prime (10866253).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 987835 + ... + 987845.

Almost surely, 2^10866240 is an apocalyptic number.

10866240 is a gapful number since it is divisible by the number (10) 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 10866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23774400).

10866240 is an abundant number, since it is smaller than the sum of its proper divisors (36682560).

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

10866240 is a wasteful number, since it uses less digits than its factorization.

10866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10866240 is about 3296.3980342186. The cubic root of 10866240 is about 221.4928770170.

The spelling of 10866240 in words is "ten million, eight hundred sixty-six thousand, two hundred forty".