11627616 has 192 divisors, whose sum is σ = 41319936. Its totient is φ = 2787840.

The previous prime is 11627597. The next prime is 11627647. The reversal of 11627616 is 61672611.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3024) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 894426 + ... + 894438.

It is an arithmetic number, because the mean of its divisors is an integer number (215208).

Almost surely, 2^11627616 is an apocalyptic number.

11627616 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 11627616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20659968).

11627616 is an abundant number, since it is smaller than the sum of its proper divisors (29692320).

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

11627616 is a wasteful number, since it uses less digits than its factorization.

11627616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 36 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 11627616 is about 3409.9290315196. The cubic root of 11627616 is about 226.5497359214.

It can be divided in two parts, 1162 and 7616, that added together give a palindrome (8778).

The spelling of 11627616 in words is "eleven million, six hundred twenty-seven thousand, six hundred sixteen".