1000610016 has 48 divisors (see below), whose sum is σ = 3001832064. Its totient is φ = 285888384.

The previous prime is 1000609993. The next prime is 1000610041. The reversal of 1000610016 is 6100160001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1000609977 and 1000610004.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 743830 + ... + 745173.

It is an arithmetic number, because the mean of its divisors is an integer number (62538168).

Almost surely, 2^1000610016 is an apocalyptic number.

1000610016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000610016 is an abundant number, since it is smaller than the sum of its proper divisors (2001222048).

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

1000610016 is a wasteful number, since it uses less digits than its factorization.

1000610016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489023 (or 1489015 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1000610016 is about 31632.4203310464. The cubic root of 1000610016 is about 1000.2032973341.

Adding to 1000610016 its reverse (6100160001), we get a palindrome (7100770017).

The spelling of 1000610016 in words is "one billion, six hundred ten thousand, sixteen".