891224880 has 480 divisors, whose sum is σ = 3546487296. Its totient is φ = 181149696.

The previous prime is 891224843. The next prime is 891224891. The reversal of 891224880 is 88422198.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 95 ways as a sum of consecutive naturals, for example, 12208524 + ... + 12208596.

Almost surely, 2^891224880 is an apocalyptic number.

891224880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 891224880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773243648).

891224880 is an abundant number, since it is smaller than the sum of its proper divisors (2655262416).

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

891224880 is a wasteful number, since it uses less digits than its factorization.

891224880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 146 counting only the distinct ones).

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

The square root of 891224880 is about 29853.3897572788. The cubic root of 891224880 is about 962.3412473315.

The spelling of 891224880 in words is "eight hundred ninety-one million, two hundred twenty-four thousand, eight hundred eighty".