11354880 has 72 divisors (see below), whose sum is σ = 36276912. Its totient is φ = 3026944.

The previous prime is 11354873. The next prime is 11354899. The reversal of 11354880 is 8845311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2362 + ... + 5318.

It is an arithmetic number, because the mean of its divisors is an integer number (503846).

Almost surely, 2^11354880 is an apocalyptic number.

11354880 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 11354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138456).

11354880 is an abundant number, since it is smaller than the sum of its proper divisors (24922032).

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

11354880 is an equidigital number, since it uses as much as digits as its factorization.

11354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2981 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 11354880 is about 3369.7002834080. The cubic root of 11354880 is about 224.7643953523.

The spelling of 11354880 in words is "eleven million, three hundred fifty-four thousand, eight hundred eighty".