1035281664 has 108 divisors (see below), whose sum is σ = 2993893812. Its totient is φ = 344064000.

The previous prime is 1035281641. The next prime is 1035281669. The reversal of 1035281664 is 4661825301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 914457600 + 120824064 = 30240^2 + 10992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035281669) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1476514 + ... + 1477214.

It is an arithmetic number, because the mean of its divisors is an integer number (27721239).

Almost surely, 2^1035281664 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 1035281664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496946906).

1035281664 is an abundant number, since it is smaller than the sum of its proper divisors (1958612148).

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

1035281664 is an equidigital number, since it uses as much as digits as its factorization.

1035281664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1035281664 is about 32175.7931370774. The cubic root of 1035281664 is about 1011.6248928768.

The spelling of 1035281664 in words is "one billion, thirty-five million, two hundred eighty-one thousand, six hundred sixty-four".