11138640 has 40 divisors (see below), whose sum is σ = 34530528. Its totient is φ = 2970240.

The previous prime is 11138623. The next prime is 11138651. The reversal of 11138640 is 4683111.

11138640 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 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 11138640.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22966 + ... + 23445.

Almost surely, 2^11138640 is an apocalyptic number.

11138640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11138640 is an abundant number, since it is smaller than the sum of its proper divisors (23391888).

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

11138640 is a wasteful number, since it uses less digits than its factorization.

11138640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46427 (or 46421 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 11138640 is about 3337.4601121212. The cubic root of 11138640 is about 223.3284521594.

The spelling of 11138640 in words is "eleven million, one hundred thirty-eight thousand, six hundred forty".