10830000 has 150 divisors (see below), whose sum is σ = 36897564. Its totient is φ = 2736000.

The previous prime is 10829999. The next prime is 10830007. The reversal of 10830000 is 3801.

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10830007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 569991 + ... + 570009.

Almost surely, 2^10830000 is an apocalyptic number.

10830000 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 10830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18448782).

10830000 is an abundant number, since it is smaller than the sum of its proper divisors (26067564).

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

10830000 is an equidigital number, since it uses as much as digits as its factorization.

10830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10830000 is about 3290.8965343809. The cubic root of 10830000 is about 221.2463691191.

Multiplying 10830000 by its sum of digits (12), we get a square (129960000 = 11400²).

10830000 divided by its sum of digits (12) gives a square (902500 = 950²).

Adding to 10830000 its reverse (3801), we get a palindrome (10833801).

It can be divided in two parts, 108 and 30000, that multiplied together give a square (3240000 = 1800²).

The spelling of 10830000 in words is "ten million, eight hundred thirty thousand".