1006632840 has 64 divisors (see below), whose sum is σ = 3084168960. Its totient is φ = 262722560.

The previous prime is 1006632829. The next prime is 1006632853. The reversal of 1006632840 is 482366001.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1006632798 and 1006632807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83601 + ... + 94880.

It is an arithmetic number, because the mean of its divisors is an integer number (48190140).

Almost surely, 2^1006632840 is an apocalyptic number.

1006632840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006632840 is an abundant number, since it is smaller than the sum of its proper divisors (2077536120).

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

1006632840 is a wasteful number, since it uses less digits than its factorization.

1006632840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178542 (or 178538 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1006632840 is about 31727.4776810260. The cubic root of 1006632840 is about 1002.2060763151.

Adding to 1006632840 its reverse (482366001), we get a palindrome (1488998841).

The spelling of 1006632840 in words is "one billion, six million, six hundred thirty-two thousand, eight hundred forty".