11713520 has 80 divisors (see below), whose sum is σ = 33539520. Its totient is φ = 3704832.

The previous prime is 11713517. The next prime is 11713553. The reversal of 11713520 is 2531711.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11713492 and 11713501.

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, 6476 + ... + 8084.

It is an arithmetic number, because the mean of its divisors is an integer number (419244).

Almost surely, 2^11713520 is an apocalyptic number.

11713520 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 11713520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16769760).

11713520 is an abundant number, since it is smaller than the sum of its proper divisors (21826000).

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

11713520 is a wasteful number, since it uses less digits than its factorization.

11713520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 11713520 is about 3422.5020087649. The cubic root of 11713520 is about 227.1062787090.

The spelling of 11713520 in words is "eleven million, seven hundred thirteen thousand, five hundred twenty".