11834720 has 96 divisors (see below), whose sum is σ = 31298400. Its totient is φ = 4202496.

The previous prime is 11834717. The next prime is 11834723. The reversal of 11834720 is 2743811.

It is an interprime number because it is at equal distance from previous prime (11834717) and next prime (11834723).

It is a self number, because there is not a number n which added to its sum of digits gives 11834720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11834723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51566 + ... + 51794.

It is an arithmetic number, because the mean of its divisors is an integer number (326025).

Almost surely, 2^11834720 is an apocalyptic number.

11834720 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 11834720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15649200).

11834720 is an abundant number, since it is smaller than the sum of its proper divisors (19463680).

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

11834720 is a wasteful number, since it uses less digits than its factorization.

11834720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 11834720 is about 3440.1627868460. The cubic root of 11834720 is about 227.8868834605.

Subtracting from 11834720 its reverse (2743811), we obtain a palindrome (9090909).

The spelling of 11834720 in words is "eleven million, eight hundred thirty-four thousand, seven hundred twenty".