11827520 has 56 divisors (see below), whose sum is σ = 29407104. Its totient is φ = 4522496.

The previous prime is 11827507. The next prime is 11827547. The reversal of 11827520 is 2572811.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11827520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6557 + ... + 8163.

Almost surely, 2^11827520 is an apocalyptic number.

11827520 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 11827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14703552).

11827520 is an abundant number, since it is smaller than the sum of its proper divisors (17579584).

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

11827520 is a wasteful number, since it uses less digits than its factorization.

11827520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1637 counting only the distinct ones).

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

The square root of 11827520 is about 3439.1161655286. The cubic root of 11827520 is about 227.8406601894.

The spelling of 11827520 in words is "eleven million, eight hundred twenty-seven thousand, five hundred twenty".