11617920 has 96 divisors (see below), whose sum is σ = 40138020. Its totient is φ = 3096576.

The previous prime is 11617913. The next prime is 11617933. The reversal of 11617920 is 2971611.

It can be written as a sum of positive squares in 2 ways, for example, as 11451456 + 166464 = 3384^2 + 408^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4752 + ... + 6768.

Almost surely, 2^11617920 is an apocalyptic number.

11617920 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 11617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20069010).

11617920 is an abundant number, since it is smaller than the sum of its proper divisors (28520100).

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

11617920 is a wasteful number, since it uses less digits than its factorization.

11617920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 11617920 is about 3408.5070045403. The cubic root of 11617920 is about 226.4867468818.

The spelling of 11617920 in words is "eleven million, six hundred seventeen thousand, nine hundred twenty".