11211040 has 48 divisors (see below), whose sum is σ = 27147960. Its totient is φ = 4372480.

The previous prime is 11211029. The next prime is 11211047. The reversal of 11211040 is 4011211.

It can be written as a sum of positive squares in 4 ways, for example, as 4177936 + 7033104 = 2044^2 + 2652^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (11211047) 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, 5706 + ... + 7414.

Almost surely, 2^11211040 is an apocalyptic number.

11211040 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 11211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13573980).

11211040 is an abundant number, since it is smaller than the sum of its proper divisors (15936920).

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

11211040 is a wasteful number, since it uses less digits than its factorization.

11211040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 11211040 is about 3348.2891153543. The cubic root of 11211040 is about 223.8112781197.

Adding to 11211040 its reverse (4011211), we get a palindrome (15222251).

The spelling of 11211040 in words is "eleven million, two hundred eleven thousand, forty".