11561616 has 100 divisors (see below), whose sum is σ = 36549744. Its totient is φ = 3499200.

The previous prime is 11561591. The next prime is 11561629. The reversal of 11561616 is 61616511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11561616.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13851 + ... + 14661.

Almost surely, 2^11561616 is an apocalyptic number.

11561616 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 11561616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18274872).

11561616 is an abundant number, since it is smaller than the sum of its proper divisors (24988128).

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

11561616 is a wasteful number, since it uses less digits than its factorization.

11561616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 827 counting only the distinct ones).

The product of its digits is 1080, while the sum is 27.

The square root of 11561616 is about 3400.2376387541. The cubic root of 11561616 is about 226.1202795150.

It can be divided in two parts, 1156 and 1616, that added together give a palindrome (2772).

The spelling of 11561616 in words is "eleven million, five hundred sixty-one thousand, six hundred sixteen".