10830800 has 30 divisors (see below), whose sum is σ = 26021958. Its totient is φ = 4332160.

The previous prime is 10830793. The next prime is 10830803. The reversal of 10830800 is 803801.

It can be written as a sum of positive squares in 3 ways, for example, as 1926544 + 8904256 = 1388^2 + 2984^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10830803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13139 + ... + 13938.

Almost surely, 2^10830800 is an apocalyptic number.

10830800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10830800 is an abundant number, since it is smaller than the sum of its proper divisors (15191158).

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

10830800 is a wasteful number, since it uses less digits than its factorization.

10830800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27095 (or 27084 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 10830800 is about 3291.0180795614. The cubic root of 10830800 is about 221.2518167257.

The spelling of 10830800 in words is "ten million, eight hundred thirty thousand, eight hundred".