1032532032 has 112 divisors (see below), whose sum is σ = 3145210880. Its totient is φ = 292833792.

The previous prime is 1032532019. The next prime is 1032532073. The reversal of 1032532032 is 2302352301.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×1032532032² = 2132244794212098048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184053 + ... + 189579.

It is an arithmetic number, because the mean of its divisors is an integer number (28082240).

Almost surely, 2^1032532032 is an apocalyptic number.

1032532032 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 1032532032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572605440).

1032532032 is an abundant number, since it is smaller than the sum of its proper divisors (2112678848).

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

1032532032 is a wasteful number, since it uses less digits than its factorization.

1032532032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688 (or 5678 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 1032532032 is about 32133.0364578264. The cubic root of 1032532032 is about 1010.7284983702.

Adding to 1032532032 its reverse (2302352301), we get a palindrome (3334884333).

The spelling of 1032532032 in words is "one billion, thirty-two million, five hundred thirty-two thousand, thirty-two".