212964360 has 256 divisors, whose sum is σ = 777461760. Its totient is φ = 45619200.

The previous prime is 212964319. The next prime is 212964361. The reversal of 212964360 is 63469212.

It is not an unprimeable number, because it can be changed into a prime (212964361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1410285 + ... + 1410435.

It is an arithmetic number, because the mean of its divisors is an integer number (3036960).

Almost surely, 2^212964360 is an apocalyptic number.

212964360 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 212964360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388730880).

212964360 is an abundant number, since it is smaller than the sum of its proper divisors (564497400).

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

212964360 is a wasteful number, since it uses less digits than its factorization.

212964360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 212964360 is about 14593.2984619653. The cubic root of 212964360 is about 597.1759509884.

The spelling of 212964360 in words is "two hundred twelve million, nine hundred sixty-four thousand, three hundred sixty".