11617872 has 80 divisors (see below), whose sum is σ = 34854912. Its totient is φ = 3265920.

The previous prime is 11617849. The next prime is 11617891. The reversal of 11617872 is 27871611.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23613 + ... + 24099.

Almost surely, 2^11617872 is an apocalyptic number.

11617872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3408×3409.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17427456).

11617872 is an abundant number, since it is smaller than the sum of its proper divisors (23237040).

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

11617872 is a wasteful number, since it uses less digits than its factorization.

11617872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 570 counting only the distinct ones).

The product of its digits is 4704, while the sum is 33.

The square root of 11617872 is about 3408.4999633270. The cubic root of 11617872 is about 226.4864349677.

The spelling of 11617872 in words is "eleven million, six hundred seventeen thousand, eight hundred seventy-two".