11338560 has 168 divisors, whose sum is σ = 40574976. Its totient is φ = 2903040.

The previous prime is 11338553. The next prime is 11338567. The reversal of 11338560 is 6583311.

It is an interprime number because it is at equal distance from previous prime (11338553) and next prime (11338567).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11338567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89217 + ... + 89343.

Almost surely, 2^11338560 is an apocalyptic number.

11338560 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 11338560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20287488).

11338560 is an abundant number, since it is smaller than the sum of its proper divisors (29236416).

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

11338560 is a wasteful number, since it uses less digits than its factorization.

11338560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11338560 is about 3367.2778323150. The cubic root of 11338560 is about 224.6566615348.

The spelling of 11338560 in words is "eleven million, three hundred thirty-eight thousand, five hundred sixty".