891112320 has 512 divisors, whose sum is σ = 3701376000. Its totient is φ = 198402048.

The previous prime is 891112289. The next prime is 891112351. The reversal of 891112320 is 23211198.

It is an interprime number because it is at equal distance from previous prime (891112289) and next prime (891112351).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 6410811 + ... + 6410949.

It is an arithmetic number, because the mean of its divisors is an integer number (7229250).

Almost surely, 2^891112320 is an apocalyptic number.

891112320 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 891112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

891112320 is an abundant number, since it is smaller than the sum of its proper divisors (2810263680).

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

891112320 is a wasteful number, since it uses less digits than its factorization.

891112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 891112320 is about 29851.5044846989. The cubic root of 891112320 is about 962.3007316720.

The spelling of 891112320 in words is "eight hundred ninety-one million, one hundred twelve thousand, three hundred twenty".