11201640 has 128 divisors (see below), whose sum is σ = 37584000. Its totient is φ = 2663424.

The previous prime is 11201611. The next prime is 11201653. The reversal of 11201640 is 4610211.

11201640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 589551 + ... + 589569.

It is an arithmetic number, because the mean of its divisors is an integer number (293625).

Almost surely, 2^11201640 is an apocalyptic number.

11201640 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 11201640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18792000).

11201640 is an abundant number, since it is smaller than the sum of its proper divisors (26382360).

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

11201640 is a wasteful number, since it uses less digits than its factorization.

11201640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 11201640 is about 3346.8851190323. The cubic root of 11201640 is about 223.7487084182.

Adding to 11201640 its reverse (4610211), we get a palindrome (15811851).

The spelling of 11201640 in words is "eleven million, two hundred one thousand, six hundred forty".