1032275664 has 280 divisors, whose sum is σ = 3512989440. Its totient is φ = 287587584.

The previous prime is 1032275659. The next prime is 1032275669. The reversal of 1032275664 is 4665722301.

1032275664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1032275659) and next prime (1032275669).

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 (1032275669) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3837322 + ... + 3837590.

Almost surely, 2^1032275664 is an apocalyptic number.

1032275664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032275664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1756494720).

1032275664 is an abundant number, since it is smaller than the sum of its proper divisors (2480713776).

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

1032275664 is an equidigital number, since it uses as much as digits as its factorization.

1032275664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 1032275664 is about 32129.0470446915. The cubic root of 1032275664 is about 1010.6448399835.

Adding to 1032275664 its reverse (4665722301), we get a palindrome (5697997965).

The spelling of 1032275664 in words is "one billion, thirty-two million, two hundred seventy-five thousand, six hundred sixty-four".