11417880 has 128 divisors (see below), whose sum is σ = 37713600. Its totient is φ = 2752512.

The previous prime is 11417869. The next prime is 11417881. The reversal of 11417880 is 8871411.

11417880 is an esthetic number in base 9, because in such base its adjacent digits differ by 1.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11417881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59064 + ... + 59256.

Almost surely, 2^11417880 is an apocalyptic number.

11417880 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 11417880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18856800).

11417880 is an abundant number, since it is smaller than the sum of its proper divisors (26295720).

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

11417880 is a wasteful number, since it uses less digits than its factorization.

11417880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 30.

The square root of 11417880 is about 3379.0353653077. The cubic root of 11417880 is about 225.1793138479.

The spelling of 11417880 in words is "eleven million, four hundred seventeen thousand, eight hundred eighty".