212620320 has 288 divisors, whose sum is σ = 818947584. Its totient is φ = 49766400.

The previous prime is 212620307. The next prime is 212620321. The reversal of 212620320 is 23026212.

212620320 is a `hidden beast` number, since 2 + 12 + 620 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 212620293 and 212620302.

It is not an unprimeable number, because it can be changed into a prime (212620321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 490824 + ... + 491256.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2^212620320 is an apocalyptic number.

212620320 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 212620320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409473792).

212620320 is an abundant number, since it is smaller than the sum of its proper divisors (606327264).

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

212620320 is a wasteful number, since it uses less digits than its factorization.

212620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 212620320 is about 14581.5060950507. The cubic root of 212620320 is about 596.8542020841.

Adding to 212620320 its reverse (23026212), we get a palindrome (235646532).

The spelling of 212620320 in words is "two hundred twelve million, six hundred twenty thousand, three hundred twenty".