11830000 has 150 divisors (see below), whose sum is σ = 35444904. Its totient is φ = 3744000.

The previous prime is 11829997. The next prime is 11830043. The reversal of 11830000 is 3811.

11830000 = T₇₉ + T₈₀ + ... + T₄₁₄.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 909994 + ... + 910006.

Almost surely, 2^11830000 is an apocalyptic number.

11830000 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 11830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17722452).

11830000 is an abundant number, since it is smaller than the sum of its proper divisors (23614904).

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

11830000 is an equidigital number, since it uses as much as digits as its factorization.

11830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 11830000 is about 3439.4767043840. The cubic root of 11830000 is about 227.8565836557.

Adding to 11830000 its reverse (3811), we get a palindrome (11833811).

The spelling of 11830000 in words is "eleven million, eight hundred thirty thousand".