11234880 has 168 divisors, whose sum is σ = 39940992. Its totient is φ = 2896896.

The previous prime is 11234849. The next prime is 11234891. The reversal of 11234880 is 8843211.

It is a super-2 number, since 2×11234880² = 252445057228800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135319 + ... + 135401.

It is an arithmetic number, because the mean of its divisors is an integer number (237744).

Almost surely, 2^11234880 is an apocalyptic number.

11234880 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 11234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496).

11234880 is an abundant number, since it is smaller than the sum of its proper divisors (28706112).

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

11234880 is a wasteful number, since it uses less digits than its factorization.

11234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 140 counting only the distinct ones).

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

The square root of 11234880 is about 3351.8472518896. The cubic root of 11234880 is about 223.9698088561.

The spelling of 11234880 in words is "eleven million, two hundred thirty-four thousand, eight hundred eighty".