1032052320 has 768 divisors, whose sum is σ = 4389396480. Its totient is φ = 223838208.

The previous prime is 1032052313. The next prime is 1032052321. The reversal of 1032052320 is 232502301.

1032052320 is a `hidden beast` number, since 103 + 20 + 523 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1032052293 and 1032052302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032052321) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21958537 + ... + 21958583.

It is an arithmetic number, because the mean of its divisors is an integer number (5715360).

Almost surely, 2^1032052320 is an apocalyptic number.

1032052320 is a gapful number since it is divisible by the number (10) 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 1032052320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2194698240).

1032052320 is an abundant number, since it is smaller than the sum of its proper divisors (3357344160).

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

1032052320 is a wasteful number, since it uses less digits than its factorization.

1032052320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1032052320 is about 32125.5711233279. The cubic root of 1032052320 is about 1010.5719467470.

Adding to 1032052320 its reverse (232502301), we get a palindrome (1264554621).

The spelling of 1032052320 in words is "one billion, thirty-two million, fifty-two thousand, three hundred twenty".