11285640 has 192 divisors, whose sum is σ = 40435200. Its totient is φ = 2720256.

The previous prime is 11285633. The next prime is 11285647. The reversal of 11285640 is 4658211.

11285640 is a `hidden beast` number, since 1 + 12 + 8 + 5 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (11285633) and next prime (11285647).

It is not an unprimeable number, because it can be changed into a prime (11285647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 240097 + ... + 240143.

It is an arithmetic number, because the mean of its divisors is an integer number (210600).

Almost surely, 2^11285640 is an apocalyptic number.

11285640 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 11285640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20217600).

11285640 is an abundant number, since it is smaller than the sum of its proper divisors (29149560).

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

11285640 is a wasteful number, since it uses less digits than its factorization.

11285640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 11285640 is about 3359.4106626014. The cubic root of 11285640 is about 224.3066060685.

It can be divided in two parts, 112856 and 40, that added together give a square (112896 = 336²).

The spelling of 11285640 in words is "eleven million, two hundred eighty-five thousand, six hundred forty".