11183640 has 128 divisors (see below), whose sum is σ = 37013760. Its totient is φ = 2686464.

The previous prime is 11183639. The next prime is 11183663. The reversal of 11183640 is 4638111.

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 11183640.

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, 104467 + ... + 104573.

It is an arithmetic number, because the mean of its divisors is an integer number (289170).

Almost surely, 2^11183640 is an apocalyptic number.

11183640 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 11183640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18506880).

11183640 is an abundant number, since it is smaller than the sum of its proper divisors (25830120).

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

11183640 is a wasteful number, since it uses less digits than its factorization.

11183640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 197 counting only the distinct ones).

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

The square root of 11183640 is about 3344.1949703927. The cubic root of 11183640 is about 223.6287963357.

The spelling of 11183640 in words is "eleven million, one hundred eighty-three thousand, six hundred forty".