11826900 has 108 divisors (see below), whose sum is σ = 39302172. Its totient is φ = 2964480.

The previous prime is 11826889. The next prime is 11826923. The reversal of 11826900 is 962811.

It can be written as a sum of positive squares in 6 ways, for example, as 777924 + 11048976 = 882^2 + 3324^2 .

It is a super-2 number, since 2×11826900² = 279751127220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14914 + ... + 15686.

It is an arithmetic number, because the mean of its divisors is an integer number (363909).

Almost surely, 2^11826900 is an apocalyptic number.

11826900 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 11826900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19651086).

11826900 is an abundant number, since it is smaller than the sum of its proper divisors (27475272).

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

11826900 is a wasteful number, since it uses less digits than its factorization.

11826900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 11826900 is about 3439.0260249088. The cubic root of 11826900 is about 227.8366789750.

The spelling of 11826900 in words is "eleven million, eight hundred twenty-six thousand, nine hundred".