11286640 has 80 divisors (see below), whose sum is σ = 28578528. Its totient is φ = 4128768.

The previous prime is 11286631. The next prime is 11286643. The reversal of 11286640 is 4668211.

11286640 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 11286599 and 11286608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11286643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58384 + ... + 58576.

Almost surely, 2^11286640 is an apocalyptic number.

11286640 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 11286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289264).

11286640 is an abundant number, since it is smaller than the sum of its proper divisors (17291888).

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

11286640 is a wasteful number, since it uses less digits than its factorization.

11286640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 11286640 is about 3359.5594949338. The cubic root of 11286640 is about 224.3132310061.

The spelling of 11286640 in words is "eleven million, two hundred eighty-six thousand, six hundred forty".