11319480 has 128 divisors (see below), whose sum is σ = 38707200. Its totient is φ = 2941056.

The previous prime is 11319463. The next prime is 11319481. The reversal of 11319480 is 8491311.

11319480 = T₃ + T₄ + ... + T₄₀₇.

11319480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11319481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50649 + ... + 50871.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^11319480 is an apocalyptic number.

11319480 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 11319480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19353600).

11319480 is an abundant number, since it is smaller than the sum of its proper divisors (27387720).

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

11319480 is a wasteful number, since it uses less digits than its factorization.

11319480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 280 counting only the distinct ones).

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

The square root of 11319480 is about 3364.4434903859. The cubic root of 11319480 is about 224.5305768674.

The spelling of 11319480 in words is "eleven million, three hundred nineteen thousand, four hundred eighty".