921921672 has 96 divisors (see below), whose sum is σ = 2718079200. Its totient is φ = 259773696.

The previous prime is 921921631. The next prime is 921921701. The reversal of 921921672 is 276129129.

921921672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 921921672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80479 + ... + 91217.

It is an arithmetic number, because the mean of its divisors is an integer number (28313325).

Almost surely, 2^921921672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 921921672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359039600).

921921672 is an abundant number, since it is smaller than the sum of its proper divisors (1796157528).

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

921921672 is a wasteful number, since it uses less digits than its factorization.

921921672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10835 (or 10824 counting only the distinct ones).

The product of its digits is 27216, while the sum is 39.

The square root of 921921672 is about 30363.1630763331. The cubic root of 921921672 is about 973.2655280011.

The spelling of 921921672 in words is "nine hundred twenty-one million, nine hundred twenty-one thousand, six hundred seventy-two".