11319680 has 64 divisors (see below), whose sum is σ = 28274400. Its totient is φ = 4325376.

The previous prime is 11319677. The next prime is 11319683. The reversal of 11319680 is 8691311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11319677) and next prime (11319683).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11319683) 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, 14336 + ... + 15104.

Almost surely, 2^11319680 is an apocalyptic number.

11319680 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 11319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14137200).

11319680 is an abundant number, since it is smaller than the sum of its proper divisors (16954720).

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

11319680 is an equidigital number, since it uses as much as digits as its factorization.

11319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 11319680 is about 3364.4732128522. The cubic root of 11319680 is about 224.5318992441.

The spelling of 11319680 in words is "eleven million, three hundred nineteen thousand, six hundred eighty".