12582240 has 96 divisors (see below), whose sum is σ = 43255296. Its totient is φ = 3048960.

The previous prime is 12582223. The next prime is 12582247. The reversal of 12582240 is 4228521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12582240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12582247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4089 + ... + 6471.

It is an arithmetic number, because the mean of its divisors is an integer number (450576).

Almost surely, 2^12582240 is an apocalyptic number.

12582240 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 12582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21627648).

12582240 is an abundant number, since it is smaller than the sum of its proper divisors (30673056).

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

12582240 is a wasteful number, since it uses less digits than its factorization.

12582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 12582240 is about 3547.1453311078. The cubic root of 12582240 is about 232.5872952345.

The spelling of 12582240 in words is "twelve million, five hundred eighty-two thousand, two hundred forty".