11616000 has 216 divisors, whose sum is σ = 42408912. Its totient is φ = 2816000.

The previous prime is 11615999. The next prime is 11616001. The reversal of 11616000 is 61611.

It is an interprime number because it is at equal distance from previous prime (11615999) and next prime (11616001).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11616001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1055995 + ... + 1056005.

Almost surely, 2^11616000 is an apocalyptic number.

11616000 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 11616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204456).

11616000 is an abundant number, since it is smaller than the sum of its proper divisors (30792912).

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

11616000 is an equidigital number, since it uses as much as digits as its factorization.

11616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 11616000 is about 3408.2253446625. The cubic root of 11616000 is about 226.4742696480.

Multiplying 11616000 by its sum of digits (15), we get a square (174240000 = 13200²).

11616000 divided by its sum of digits (15) gives a square (774400 = 880²).

Adding to 11616000 its reverse (61611), we get a palindrome (11677611).

The spelling of 11616000 in words is "eleven million, six hundred sixteen thousand".