1032642432 has 160 divisors (see below), whose sum is σ = 3099816720. Its totient is φ = 341231616.

The previous prime is 1032642397. The next prime is 1032642433. The reversal of 1032642432 is 2342462301.

1032642432 is a `hidden beast` number, since 10 + 3 + 2 + 642 + 4 + 3 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1032642396 and 1032642405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032642433) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1420053 + ... + 1420779.

Almost surely, 2^1032642432 is an apocalyptic number.

1032642432 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 1032642432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549908360).

1032642432 is an abundant number, since it is smaller than the sum of its proper divisors (2067174288).

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

1032642432 is an equidigital number, since it uses as much as digits as its factorization.

1032642432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 1032642432 is about 32134.7542701045. The cubic root of 1032642432 is about 1010.7645199967.

The spelling of 1032642432 in words is "one billion, thirty-two million, six hundred forty-two thousand, four hundred thirty-two".