11828640 has 96 divisors (see below), whose sum is σ = 39251520. Its totient is φ = 2985984.

The previous prime is 11828633. The next prime is 11828669. The reversal of 11828640 is 4682811.

11828640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11828598 and 11828607.

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, 8472 + ... + 9768.

It is an arithmetic number, because the mean of its divisors is an integer number (408870).

Almost surely, 2^11828640 is an apocalyptic number.

11828640 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 11828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19625760).

11828640 is an abundant number, since it is smaller than the sum of its proper divisors (27422880).

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

11828640 is a wasteful number, since it uses less digits than its factorization.

11828640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 11828640 is about 3439.2789942079. The cubic root of 11828640 is about 227.8478517078.

The spelling of 11828640 in words is "eleven million, eight hundred twenty-eight thousand, six hundred forty".