11417640 has 96 divisors (see below), whose sum is σ = 37156320. Its totient is φ = 2805504.

The previous prime is 11417611. The next prime is 11417701. The reversal of 11417640 is 4671411.

It is a Cunningham number, because it is equal to 3379²-1.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11417640.

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, 19999 + ... + 20561.

It is an arithmetic number, because the mean of its divisors is an integer number (387045).

Almost surely, 2^11417640 is an apocalyptic number.

11417640 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 11417640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18578160).

11417640 is an abundant number, since it is smaller than the sum of its proper divisors (25738680).

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

11417640 is a wasteful number, since it uses less digits than its factorization.

11417640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 11417640 is about 3378.9998520272. Note that the first 3 decimals coincide. The cubic root of 11417640 is about 225.1777361057.

The spelling of 11417640 in words is "eleven million, four hundred seventeen thousand, six hundred forty".