11427520 has 112 divisors (see below), whose sum is σ = 30467808. Its totient is φ = 4055040.

The previous prime is 11427517. The next prime is 11427547. The reversal of 11427520 is 2572411.

11427520 = 233² + 234² + ... + 360².

It is a happy number.

11427520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11427491 and 11427500.

It is a congruent number.

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, 170527 + ... + 170593.

It is an arithmetic number, because the mean of its divisors is an integer number (272034).

Almost surely, 2^11427520 is an apocalyptic number.

11427520 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 11427520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15233904).

11427520 is an abundant number, since it is smaller than the sum of its proper divisors (19040288).

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

11427520 is a wasteful number, since it uses less digits than its factorization.

11427520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 11427520 is about 3380.4615069543. The cubic root of 11427520 is about 225.2426682232.

Adding to 11427520 its reverse (2572411), we get a palindrome (13999931).

The spelling of 11427520 in words is "eleven million, four hundred twenty-seven thousand, five hundred twenty".