921284880 has 80 divisors (see below), whose sum is σ = 2875262400. Its totient is φ = 244017664.

The previous prime is 921284857. The next prime is 921284909. The reversal of 921284880 is 88482129.

921284880 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×921284880² = 1697531660233228800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22879 + ... + 48641.

It is an arithmetic number, because the mean of its divisors is an integer number (35940780).

Almost surely, 2^921284880 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 921284880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437631200).

921284880 is an abundant number, since it is smaller than the sum of its proper divisors (1953977520).

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

921284880 is a wasteful number, since it uses less digits than its factorization.

921284880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25928 (or 25922 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 921284880 is about 30352.6750056729. The cubic root of 921284880 is about 973.0413909363.

The spelling of 921284880 in words is "nine hundred twenty-one million, two hundred eighty-four thousand, eight hundred eighty".