11324880 has 240 divisors, whose sum is σ = 45800640. Its totient is φ = 2564352.

The previous prime is 11324861. The next prime is 11324903. The reversal of 11324880 is 8842311.

11324880 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

11324880 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105787 + ... + 105893.

It is an arithmetic number, because the mean of its divisors is an integer number (190836).

Almost surely, 2^11324880 is an apocalyptic number.

11324880 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 11324880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900320).

11324880 is an abundant number, since it is smaller than the sum of its proper divisors (34475760).

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

11324880 is a wasteful number, since it uses less digits than its factorization.

11324880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11324880 is about 3365.2459048337. The cubic root of 11324880 is about 224.5662755733.

The spelling of 11324880 in words is "eleven million, three hundred twenty-four thousand, eight hundred eighty".