11014640 has 160 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3244032.

The previous prime is 11014637. The next prime is 11014667. The reversal of 11014640 is 4641011.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123716 + ... + 123804.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 2^11014640 is an apocalyptic number.

11014640 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 11014640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

11014640 is an abundant number, since it is smaller than the sum of its proper divisors (22733200).

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

11014640 is a wasteful number, since it uses less digits than its factorization.

11014640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11014640 is about 3318.8311195359. The cubic root of 11014640 is about 222.4966291624.

Adding to 11014640 its reverse (4641011), we get a palindrome (15655651).

The spelling of 11014640 in words is "eleven million, fourteen thousand, six hundred forty".