1032535120 has 80 divisors (see below), whose sum is σ = 2567366928. Its totient is φ = 384819200.

The previous prime is 1032535117. The next prime is 1032535129. The reversal of 1032535120 is 215352301.

1032535120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 363588624 + 668946496 = 19068^2 + 25864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1032535120² = 2132257548066828800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1032535091 and 1032535100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032535129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133602 + ... + 141118.

Almost surely, 2^1032535120 is an apocalyptic number.

1032535120 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 1032535120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283683464).

1032535120 is an abundant number, since it is smaller than the sum of its proper divisors (1534831808).

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

1032535120 is a wasteful number, since it uses less digits than its factorization.

1032535120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7648 (or 7642 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1032535120 is about 32133.0845080269. The cubic root of 1032535120 is about 1010.7295059666.

Adding to 1032535120 its reverse (215352301), we get a palindrome (1247887421).

The spelling of 1032535120 in words is "one billion, thirty-two million, five hundred thirty-five thousand, one hundred twenty".