1681007090 has 64 divisors (see below), whose sum is σ = 3699489024. Its totient is φ = 536813568.

The previous prime is 1681007063. The next prime is 1681007161. The reversal of 1681007090 is 907001861.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108149 + ... + 122711.

It is an arithmetic number, because the mean of its divisors is an integer number (57804516).

Almost surely, 2^1681007090 is an apocalyptic number.

1681007090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1681007090 is an abundant number, since it is smaller than the sum of its proper divisors (2018481934).

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

1681007090 is a wasteful number, since it uses less digits than its factorization.

1681007090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14691.

The product of its (nonzero) digits is 3024, while the sum is 32.

The square root of 1681007090 is about 41000.0864633235. The cubic root of 1681007090 is about 1189.0218853394.

The spelling of 1681007090 in words is "one billion, six hundred eighty-one million, seven thousand, ninety".