11287520 has 96 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 4133376.

The previous prime is 11287519. The next prime is 11287531. The reversal of 11287520 is 2578211.

11287520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11287520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142841 + ... + 142919.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 2^11287520 is an apocalyptic number.

11287520 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 11287520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

11287520 is an abundant number, since it is smaller than the sum of its proper divisors (17742880).

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

11287520 is a wasteful number, since it uses less digits than its factorization.

11287520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The square root of 11287520 is about 3359.6904619325. The cubic root of 11287520 is about 224.3190606275.

The spelling of 11287520 in words is "eleven million, two hundred eighty-seven thousand, five hundred twenty".