11418960 has 120 divisors (see below), whose sum is σ = 41220576. Its totient is φ = 2607360.

The previous prime is 11418941. The next prime is 11418961. The reversal of 11418960 is 6981411.

11418960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 (11418961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11275 + ... + 12245.

Almost surely, 2^11418960 is an apocalyptic number.

11418960 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 11418960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20610288).

11418960 is an abundant number, since it is smaller than the sum of its proper divisors (29801616).

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

11418960 is a wasteful number, since it uses less digits than its factorization.

11418960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The square root of 11418960 is about 3379.1951704511. The cubic root of 11418960 is about 225.1864134143.

It can be divided in two parts, 1141 and 8960, that added together give a palindrome (10101).

The spelling of 11418960 in words is "eleven million, four hundred eighteen thousand, nine hundred sixty".