1536864 has 48 divisors (see below), whose sum is σ = 4612608. Its totient is φ = 438912.

The previous prime is 1536839. The next prime is 1536881. The reversal of 1536864 is 4686351.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 472 + ... + 1815.

It is an arithmetic number, because the mean of its divisors is an integer number (96096).

2^1536864 is an apocalyptic number.

1536864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1536864 is an abundant number, since it is smaller than the sum of its proper divisors (3075744).

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

1536864 is a wasteful number, since it uses less digits than its factorization.

1536864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2299 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 1536864 is about 1239.7031902839. The cubic root of 1536864 is about 115.4015953131.

It can be divided in two parts, 1536 and 864, that multiplied together give a square (1327104 = 1152²).

The spelling of 1536864 in words is "one million, five hundred thirty-six thousand, eight hundred sixty-four".