11348000 has 48 divisors (see below), whose sum is σ = 27891864. Its totient is φ = 4537600.

The previous prime is 11347981. The next prime is 11348003. The reversal of 11348000 is 84311.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 824464 + 10523536 = 908^2 + 3244^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11348000.

It is not an unprimeable number, because it can be changed into a prime (11348003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2582 + ... + 5418.

Almost surely, 2^11348000 is an apocalyptic number.

11348000 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 11348000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945932).

11348000 is an abundant number, since it is smaller than the sum of its proper divisors (16543864).

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

11348000 is an equidigital number, since it uses as much as digits as its factorization.

11348000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2844 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11348000 is about 3368.6792664188. The cubic root of 11348000 is about 224.7189907490.

The spelling of 11348000 in words is "eleven million, three hundred forty-eight thousand".