11817260 has 96 divisors (see below), whose sum is σ = 31460352. Its totient is φ = 3628800.

The previous prime is 11817241. The next prime is 11817269. The reversal of 11817260 is 6271811.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11817269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78185 + ... + 78335.

It is an arithmetic number, because the mean of its divisors is an integer number (327712).

Almost surely, 2^11817260 is an apocalyptic number.

11817260 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 11817260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15730176).

11817260 is an abundant number, since it is smaller than the sum of its proper divisors (19643092).

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

11817260 is a wasteful number, since it uses less digits than its factorization.

11817260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 26.

The square root of 11817260 is about 3437.6241795752. The cubic root of 11817260 is about 227.7747596048.

The spelling of 11817260 in words is "eleven million, eight hundred seventeen thousand, two hundred sixty".