1006531632 has 60 divisors (see below), whose sum is σ = 2885612184. Its totient is φ = 327325440.

The previous prime is 1006531613. The next prime is 1006531661. The reversal of 1006531632 is 2361356001.

1006531632 is a `hidden beast` number, since 1 + 0 + 0 + 653 + 1 + 6 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1006531596 and 1006531605.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79338 + ... + 91145.

Almost surely, 2^1006531632 is an apocalyptic number.

1006531632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006531632 is an abundant number, since it is smaller than the sum of its proper divisors (1879080552).

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

1006531632 is a wasteful number, since it uses less digits than its factorization.

1006531632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170538 (or 170529 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1006531632 is about 31725.8826827560. The cubic root of 1006531632 is about 1002.1724875467.

Adding to 1006531632 its reverse (2361356001), we get a palindrome (3367887633).

The spelling of 1006531632 in words is "one billion, six million, five hundred thirty-one thousand, six hundred thirty-two".