1535648 has 24 divisors (see below), whose sum is σ = 3107412. Its totient is φ = 746496.

The previous prime is 1535629. The next prime is 1535663. The reversal of 1535648 is 8465351.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1056784 + 478864 = 1028^2 + 692^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

1535648 is an undulating number in base 6.

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 3 ways as a sum of consecutive naturals, for example, 536 + ... + 1832.

2^1535648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553706).

1535648 is an abundant number, since it is smaller than the sum of its proper divisors (1571764).

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

1535648 is a wasteful number, since it uses less digits than its factorization.

1535648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its digits is 14400, while the sum is 32.

The square root of 1535648 is about 1239.2126532601. The cubic root of 1535648 is about 115.3711512039.

The spelling of 1535648 in words is "one million, five hundred thirty-five thousand, six hundred forty-eight".