11468320 has 48 divisors (see below), whose sum is σ = 27299160. Its totient is φ = 4552704.

The previous prime is 11468293. The next prime is 11468321. The reversal of 11468320 is 2386411.

11468320 = T₁₉₅ + T₁₉₆ + ... + T₄₂₃.

It can be written as a sum of positive squares in 4 ways, for example, as 8271376 + 3196944 = 2876^2 + 1788^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11468321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 36484 + ... + 36796.

Almost surely, 2^11468320 is an apocalyptic number.

11468320 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 11468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13649580).

11468320 is an abundant number, since it is smaller than the sum of its proper divisors (15830840).

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

11468320 is a wasteful number, since it uses less digits than its factorization.

11468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 11468320 is about 3386.4908090825. The cubic root of 11468320 is about 225.5104132667.

The spelling of 11468320 in words is "eleven million, four hundred sixty-eight thousand, three hundred twenty".