212354320 has 40 divisors (see below), whose sum is σ = 497021760. Its totient is φ = 84374400.

The previous prime is 212354273. The next prime is 212354321. The reversal of 212354320 is 23453212.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 212354291 and 212354300.

It is not an unprimeable number, because it can be changed into a prime (212354321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3291 + ... + 20869.

It is an arithmetic number, because the mean of its divisors is an integer number (12425544).

Almost surely, 2^212354320 is an apocalyptic number.

212354320 is a gapful number since it is divisible by the number (20) 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 212354320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248510880).

212354320 is an abundant number, since it is smaller than the sum of its proper divisors (284667440).

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

212354320 is a wasteful number, since it uses less digits than its factorization.

212354320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17743 (or 17737 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 212354320 is about 14572.3820976531. The cubic root of 212354320 is about 596.6051988043.

The spelling of 212354320 in words is "two hundred twelve million, three hundred fifty-four thousand, three hundred twenty".