1681016772 has 48 divisors (see below), whose sum is σ = 3992369472. Its totient is φ = 550366080.

The previous prime is 1681016749. The next prime is 1681016791. The reversal of 1681016772 is 2776101861.

It is a self number, because there is not a number n which added to its sum of digits gives 1681016772.

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 15 ways as a sum of consecutive naturals, for example, 740383 + ... + 742649.

It is an arithmetic number, because the mean of its divisors is an integer number (83174364).

Almost surely, 2^1681016772 is an apocalyptic number.

1681016772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1681016772 is an abundant number, since it is smaller than the sum of its proper divisors (2311352700).

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

1681016772 is a wasteful number, since it uses less digits than its factorization.

1681016772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3348 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 1681016772 is about 41000.2045360752. The cubic root of 1681016772 is about 1189.0241681153.

The spelling of 1681016772 in words is "one billion, six hundred eighty-one million, sixteen thousand, seven hundred seventy-two".