11514640 has 40 divisors (see below), whose sum is σ = 27641088. Its totient is φ = 4456320.

The previous prime is 11514623. The next prime is 11514641. The reversal of 11514640 is 4641511.

11514640 is digitally balanced in base 2, because in such base 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11514641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159 + ... + 4801.

Almost surely, 2^11514640 is an apocalyptic number.

11514640 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 11514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820544).

11514640 is an abundant number, since it is smaller than the sum of its proper divisors (16126448).

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

11514640 is a wasteful number, since it uses less digits than its factorization.

11514640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4687 (or 4681 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 11514640 is about 3393.3228552556. The cubic root of 11514640 is about 225.8136140454.

The spelling of 11514640 in words is "eleven million, five hundred fourteen thousand, six hundred forty".