10768000 has 64 divisors (see below), whose sum is σ = 26811720. Its totient is φ = 4300800.

The previous prime is 10767997. The next prime is 10768027. The reversal of 10768000 is 86701.

It can be written as a sum of positive squares in 4 ways, for example, as 2334784 + 8433216 = 1528^2 + 2904^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15664 + ... + 16336.

Almost surely, 2^10768000 is an apocalyptic number.

10768000 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 10768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13405860).

10768000 is an abundant number, since it is smaller than the sum of its proper divisors (16043720).

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

10768000 is an frugal number, since it uses more digits than its factorization.

10768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10768000 is about 3281.4630883190. The cubic root of 10768000 is about 220.8233609673.

The spelling of 10768000 in words is "ten million, seven hundred sixty-eight thousand".