1065815648 has 48 divisors (see below), whose sum is σ = 2164216320. Its totient is φ = 516432000.

The previous prime is 1065815617. The next prime is 1065815657. The reversal of 1065815648 is 8465185601.

1065815648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1065815648³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 1065815599 and 1065815608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130073 + ... + 138023.

It is an arithmetic number, because the mean of its divisors is an integer number (45087840).

Almost surely, 2^1065815648 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 1065815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082108160).

1065815648 is an abundant number, since it is smaller than the sum of its proper divisors (1098400672).

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

1065815648 is an equidigital number, since it uses as much as digits as its factorization.

1065815648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8091 (or 8083 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The square root of 1065815648 is about 32646.8321280948. The cubic root of 1065815648 is about 1021.4741110491.

The spelling of 1065815648 in words is "one billion, sixty-five million, eight hundred fifteen thousand, six hundred forty-eight".