1535657648 has 80 divisors (see below), whose sum is σ = 3589800000. Its totient is φ = 635378688.

The previous prime is 1535657639. The next prime is 1535657681. The reversal of 1535657648 is 8467565351.

It is a junction number, because it is equal to n+sod(n) for n = 1535657596 and 1535657605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154328 + ... + 163976.

It is an arithmetic number, because the mean of its divisors is an integer number (44872500).

Almost surely, 2^1535657648 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 1535657648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1794900000).

1535657648 is an abundant number, since it is smaller than the sum of its proper divisors (2054142352).

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

1535657648 is an equidigital number, since it uses as much as digits as its factorization.

1535657648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707 (or 9687 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 50.

The square root of 1535657648 is about 39187.4679967971. The cubic root of 1535657648 is about 1153.7139281707.

The spelling of 1535657648 in words is "one billion, five hundred thirty-five million, six hundred fifty-seven thousand, six hundred forty-eight".