11319000 has 256 divisors, whose sum is σ = 44928000. Its totient is φ = 2352000.

The previous prime is 11318987. The next prime is 11319031. The reversal of 11319000 is 91311.

It is a super-2 number, since 2×11319000² = 256239522000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 63 ways as a sum of consecutive naturals, for example, 1028995 + ... + 1029005.

It is an arithmetic number, because the mean of its divisors is an integer number (175500).

Almost surely, 2^11319000 is an apocalyptic number.

11319000 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 11319000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22464000).

11319000 is an abundant number, since it is smaller than the sum of its proper divisors (33609000).

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

11319000 is a wasteful number, since it uses less digits than its factorization.

11319000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

The square root of 11319000 is about 3364.3721553954. The cubic root of 11319000 is about 224.5274030997.

The spelling of 11319000 in words is "eleven million, three hundred nineteen thousand".