11338240 has 80 divisors (see below), whose sum is σ = 28087488. Its totient is φ = 4386816.

The previous prime is 11338213. The next prime is 11338259. The reversal of 11338240 is 4283311.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110029 + ... + 110131.

Almost surely, 2^11338240 is an apocalyptic number.

11338240 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 11338240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14043744).

11338240 is an abundant number, since it is smaller than the sum of its proper divisors (16749248).

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

11338240 is an equidigital number, since it uses as much as digits as its factorization.

11338240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 11338240 is about 3367.2303158531. The cubic root of 11338240 is about 224.6545480739.

The spelling of 11338240 in words is "eleven million, three hundred thirty-eight thousand, two hundred forty".