1006687090632 has 32 divisors (see below), whose sum is σ = 2519587468800. Its totient is φ = 335179731264.

The previous prime is 1006687090621. The next prime is 1006687090663. The reversal of 1006687090632 is 2360907866001.

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 7 ways as a sum of consecutive naturals, for example, 23893032 + ... + 23935127.

It is an arithmetic number, because the mean of its divisors is an integer number (78737108400).

Almost surely, 2^{1006687090632} is an apocalyptic number.

1006687090632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006687090632 is an abundant number, since it is smaller than the sum of its proper divisors (1512900378168).

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

1006687090632 is a wasteful number, since it uses less digits than its factorization.

1006687090632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47829045 (or 47829041 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1006687090632 in words is "one trillion, six billion, six hundred eighty-seven million, ninety thousand, six hundred thirty-two".