11280870 has 80 divisors (see below), whose sum is σ = 31973040. Its totient is φ = 2846016.

The previous prime is 11280817. The next prime is 11280881. The reversal of 11280870 is 7808211.

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

It is a nialpdrome in base 15.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 15024 + ... + 15756.

It is an arithmetic number, because the mean of its divisors is an integer number (399663).

Almost surely, 2^11280870 is an apocalyptic number.

11280870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11280870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15986520).

11280870 is an abundant number, since it is smaller than the sum of its proper divisors (20692170).

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

11280870 is a wasteful number, since it uses less digits than its factorization.

11280870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 11280870 is about 3358.7006416172. The cubic root of 11280870 is about 224.2749997296.

The spelling of 11280870 in words is "eleven million, two hundred eighty thousand, eight hundred seventy".