10896000 has 128 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 2892800.

The previous prime is 10895999. The next prime is 10896001. The reversal of 10896000 is 69801.

It is an interprime number because it is at equal distance from previous prime (10895999) and next prime (10896001).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10896001) 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 15 ways as a sum of consecutive naturals, for example, 47887 + ... + 48113.

Almost surely, 2^10896000 is an apocalyptic number.

10896000 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 10896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

10896000 is an abundant number, since it is smaller than the sum of its proper divisors (25383360).

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

10896000 is an equidigital number, since it uses as much as digits as its factorization.

10896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 10896000 is about 3300.9089657244. The cubic root of 10896000 is about 221.6948978183.

The spelling of 10896000 in words is "ten million, eight hundred ninety-six thousand".