11616720 has 80 divisors (see below), whose sum is σ = 36456000. Its totient is φ = 3059712.

The previous prime is 11616701. The next prime is 11616721. The reversal of 11616720 is 2761611.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11616721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23031 + ... + 23529.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 2^11616720 is an apocalyptic number.

11616720 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 11616720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18228000).

11616720 is an abundant number, since it is smaller than the sum of its proper divisors (24839280).

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

11616720 is a wasteful number, since it uses less digits than its factorization.

11616720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 11616720 is about 3408.3309698443. The cubic root of 11616720 is about 226.4789487718.

It can be divided in two parts, 116 and 16720, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 11616720 in words is "eleven million, six hundred sixteen thousand, seven hundred twenty".