11717280 has 144 divisors (see below), whose sum is σ = 40884480. Its totient is φ = 3055104.

The previous prime is 11717273. The next prime is 11717291. The reversal of 11717280 is 8271711.

11717280 = T₂₂₉ + T₂₃₀ + ... + T₄₃₄.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113709 + ... + 113811.

It is an arithmetic number, because the mean of its divisors is an integer number (283920).

Almost surely, 2^11717280 is an apocalyptic number.

11717280 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 11717280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20442240).

11717280 is an abundant number, since it is smaller than the sum of its proper divisors (29167200).

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

11717280 is a wasteful number, since it uses less digits than its factorization.

11717280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 11717280 is about 3423.0512704311. The cubic root of 11717280 is about 227.1305762232.

Adding to 11717280 its reverse (8271711), we get a palindrome (19988991).

The spelling of 11717280 in words is "eleven million, seven hundred seventeen thousand, two hundred eighty".