1032901632 has 264 divisors, whose sum is σ = 3540753216. Its totient is φ = 294617088.

The previous prime is 1032901619. The next prime is 1032901637. The reversal of 1032901632 is 2361092301.

1032901632 is a `hidden beast` number, since 1 + 0 + 3 + 29 + 0 + 1 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 1032901596 and 1032901605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032901637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1741528 + ... + 1742120.

It is an arithmetic number, because the mean of its divisors is an integer number (13411944).

Almost surely, 2^1032901632 is an apocalyptic number.

1032901632 is a gapful number since it is divisible by the number (12) 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 1032901632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770376608).

1032901632 is an abundant number, since it is smaller than the sum of its proper divisors (2507851584).

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

1032901632 is an frugal number, since it uses more digits than its factorization.

1032901632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 1032901632 is about 32138.7870337385. The cubic root of 1032901632 is about 1010.8490824222.

Adding to 1032901632 its reverse (2361092301), we get a palindrome (3393993933).

The spelling of 1032901632 in words is "one billion, thirty-two million, nine hundred one thousand, six hundred thirty-two".