212560320 has 224 divisors, whose sum is σ = 788871168. Its totient is φ = 47480832.

The previous prime is 212560307. The next prime is 212560339. The reversal of 212560320 is 23065212.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 315504 + ... + 316176.

Almost surely, 2^212560320 is an apocalyptic number.

212560320 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 212560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394435584).

212560320 is an abundant number, since it is smaller than the sum of its proper divisors (576310848).

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

212560320 is a wasteful number, since it uses less digits than its factorization.

212560320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 212560320 is about 14579.4485492422. The cubic root of 212560320 is about 596.7980540778.

The spelling of 212560320 in words is "two hundred twelve million, five hundred sixty thousand, three hundred twenty".