11282880 has 224 divisors, whose sum is σ = 43305984. Its totient is φ = 2433024.

The previous prime is 11282879. The next prime is 11282893. The reversal of 11282880 is 8828211.

It is a Cunningham number, because it is equal to 3359²-1.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154524 + ... + 154596.

Almost surely, 2^11282880 is an apocalyptic number.

11282880 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 11282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21652992).

11282880 is an abundant number, since it is smaller than the sum of its proper divisors (32023104).

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

11282880 is a wasteful number, since it uses less digits than its factorization.

11282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 11282880 is about 3358.9998511462. Note that the first 3 decimals coincide. The cubic root of 11282880 is about 224.2883192100.

The spelling of 11282880 in words is "eleven million, two hundred eighty-two thousand, eight hundred eighty".