1584960 has 112 divisors (see below), whose sum is σ = 5462016. Its totient is φ = 387072.

The previous prime is 1584959. The next prime is 1584967. The reversal of 1584960 is 694851.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1584967) 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, 12417 + ... + 12543.

It is an arithmetic number, because the mean of its divisors is an integer number (48768).

2^1584960 is an apocalyptic number.

1584960 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 1584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731008).

1584960 is an abundant number, since it is smaller than the sum of its proper divisors (3877056).

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

1584960 is a wasteful number, since it uses less digits than its factorization.

1584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1584960 is about 1258.9519450718. The cubic root of 1584960 is about 116.5930783099.

The spelling of 1584960 in words is "one million, five hundred eighty-four thousand, nine hundred sixty".