854212320 has 144 divisors (see below), whose sum is σ = 3139299072. Its totient is φ = 210263040.

The previous prime is 854212319. The next prime is 854212321. The reversal of 854212320 is 23212458.

854212320 is a `hidden beast` number, since 8 + 5 + 421 + 232 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (854212319) and next prime (854212321).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (854212321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4096 + ... + 41535.

It is an arithmetic number, because the mean of its divisors is an integer number (21800688).

Almost surely, 2^854212320 is an apocalyptic number.

854212320 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 854212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569649536).

854212320 is an abundant number, since it is smaller than the sum of its proper divisors (2285086752).

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

854212320 is a wasteful number, since it uses less digits than its factorization.

854212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45665 (or 45654 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 854212320 is about 29226.9108870575. The cubic root of 854212320 is about 948.8304425431.

Adding to 854212320 its reverse (23212458), we get a palindrome (877424778).

The spelling of 854212320 in words is "eight hundred fifty-four million, two hundred twelve thousand, three hundred twenty".