11382840 has 96 divisors (see below), whose sum is σ = 42288480. Its totient is φ = 2601216.

The previous prime is 11382827. The next prime is 11382851. The reversal of 11382840 is 4828311.

11382840 = 337² + 338² + ... + 416².

It is a nialpdrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 262 + ... + 4778.

It is an arithmetic number, because the mean of its divisors is an integer number (440505).

Almost surely, 2^11382840 is an apocalyptic number.

11382840 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 11382840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21144240).

11382840 is an abundant number, since it is smaller than the sum of its proper divisors (30905640).

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

11382840 is a wasteful number, since it uses less digits than its factorization.

11382840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4534 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11382840 is about 3373.8464695359. The cubic root of 11382840 is about 224.9487290585.

The spelling of 11382840 in words is "eleven million, three hundred eighty-two thousand, eight hundred forty".