11291440 has 80 divisors (see below), whose sum is σ = 28212480. Its totient is φ = 4193280.

The previous prime is 11291437. The next prime is 11291447. The reversal of 11291440 is 4419211.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11291447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71842 + ... + 71998.

It is an arithmetic number, because the mean of its divisors is an integer number (352656).

Almost surely, 2^11291440 is an apocalyptic number.

11291440 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 11291440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106240).

11291440 is an abundant number, since it is smaller than the sum of its proper divisors (16921040).

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

11291440 is a wasteful number, since it uses less digits than its factorization.

11291440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 11291440 is about 3360.2737983682. The cubic root of 11291440 is about 224.3450252605.

The spelling of 11291440 in words is "eleven million, two hundred ninety-one thousand, four hundred forty".