15582240 has 96 divisors (see below), whose sum is σ = 54552960. Its totient is φ = 4154112.

The previous prime is 15582233. The next prime is 15582253. The reversal of 15582240 is 4228551.

It is a happy number.

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 (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2517 + ... + 6123.

It is an arithmetic number, because the mean of its divisors is an integer number (568260).

Almost surely, 2^15582240 is an apocalyptic number.

15582240 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 15582240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27276480).

15582240 is an abundant number, since it is smaller than the sum of its proper divisors (38970720).

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

15582240 is a wasteful number, since it uses less digits than its factorization.

15582240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3631 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 15582240 is about 3947.4346099714. The cubic root of 15582240 is about 249.7717383165.

The spelling of 15582240 in words is "fifteen million, five hundred eighty-two thousand, two hundred forty".