11715616 has 48 divisors (see below), whose sum is σ = 25528608. Its totient is φ = 5248000.

The previous prime is 11715611. The next prime is 11715617. The reversal of 11715616 is 61651711.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11715611) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29016 + ... + 29416.

It is an arithmetic number, because the mean of its divisors is an integer number (531846).

Almost surely, 2^11715616 is an apocalyptic number.

11715616 is a gapful number since it is divisible by the number (16) 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 11715616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12764304).

11715616 is an abundant number, since it is smaller than the sum of its proper divisors (13812992).

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

11715616 is a wasteful number, since it uses less digits than its factorization.

11715616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its digits is 1260, while the sum is 28.

The square root of 11715616 is about 3422.8082037999. The cubic root of 11715616 is about 227.1198239220.

The spelling of 11715616 in words is "eleven million, seven hundred fifteen thousand, six hundred sixteen".