891232320 has 224 divisors, whose sum is σ = 3171724416. Its totient is φ = 210124800.

The previous prime is 891232301. The next prime is 891232339. The reversal of 891232320 is 23232198.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (891232301) and next prime (891232339).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389580 + ... + 391860.

It is an arithmetic number, because the mean of its divisors is an integer number (14159484).

Almost surely, 2^891232320 is an apocalyptic number.

891232320 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 891232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585862208).

891232320 is an abundant number, since it is smaller than the sum of its proper divisors (2280492096).

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

891232320 is a wasteful number, since it uses less digits than its factorization.

891232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 891232320 is about 29853.5143659838. The cubic root of 891232320 is about 962.3439252186.

The spelling of 891232320 in words is "eight hundred ninety-one million, two hundred thirty-two thousand, three hundred twenty".