11617680 has 40 divisors (see below), whose sum is σ = 36015552. Its totient is φ = 3097984.

The previous prime is 11617663. The next prime is 11617687. The reversal of 11617680 is 8671611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (11617687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23964 + ... + 24443.

Almost surely, 2^11617680 is an apocalyptic number.

11617680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11617680 is an abundant number, since it is smaller than the sum of its proper divisors (24397872).

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

11617680 is a wasteful number, since it uses less digits than its factorization.

11617680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48423 (or 48417 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 11617680 is about 3408.4717983284. The cubic root of 11617680 is about 226.4851873028.

The spelling of 11617680 in words is "eleven million, six hundred seventeen thousand, six hundred eighty".