11328240 has 160 divisors (see below), whose sum is σ = 43854336. Its totient is φ = 2350080.

The previous prime is 11328211. The next prime is 11328271. The reversal of 11328240 is 4282311.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18174 + ... + 18786.

Almost surely, 2^11328240 is an apocalyptic number.

11328240 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 11328240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21927168).

11328240 is an abundant number, since it is smaller than the sum of its proper divisors (32526096).

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

11328240 is a wasteful number, since it uses less digits than its factorization.

11328240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 11328240 is about 3365.7450883868. The cubic root of 11328240 is about 224.5884823745.

The spelling of 11328240 in words is "eleven million, three hundred twenty-eight thousand, two hundred forty".