1536480 has 144 divisors (see below), whose sum is σ = 5778864. Its totient is φ = 368640.

The previous prime is 1536467. The next prime is 1536487. The reversal of 1536480 is 846351.

1536480 = 79³ + 80³ + 81³.

1536480 is a `hidden beast` number, since 15 + 3 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1536487) by changing a digit.

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, 15792 + ... + 15888.

It is an arithmetic number, because the mean of its divisors is an integer number (40131).

2^1536480 is an apocalyptic number.

1536480 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 1536480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2889432).

1536480 is an abundant number, since it is smaller than the sum of its proper divisors (4242384).

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

1536480 is a wasteful number, since it uses less digits than its factorization.

1536480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1536480 is about 1239.5483048272. The cubic root of 1536480 is about 115.3919831193.

It can be divided in two parts, 1536 and 480, that added together give a triangular number (2016 = T₆₃).

The spelling of 1536480 in words is "one million, five hundred thirty-six thousand, four hundred eighty".