11628540 has 144 divisors (see below), whose sum is σ = 44029440. Its totient is φ = 2413440.

The previous prime is 11628523. The next prime is 11628557. The reversal of 11628540 is 4582611.

11628540 is a `hidden beast` number, since 116 + 2 + 8 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (11628523) and next prime (11628557).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13441 + ... + 14279.

It is an arithmetic number, because the mean of its divisors is an integer number (305760).

Almost surely, 2^11628540 is an apocalyptic number.

11628540 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 11628540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22014720).

11628540 is an abundant number, since it is smaller than the sum of its proper divisors (32400900).

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

11628540 is a wasteful number, since it uses less digits than its factorization.

11628540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 867 counting only the distinct ones).

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

The square root of 11628540 is about 3410.0645155187. The cubic root of 11628540 is about 226.5557367620. Note that the first 3 decimals are identical.

The spelling of 11628540 in words is "eleven million, six hundred twenty-eight thousand, five hundred forty".