212502960 has 160 divisors (see below), whose sum is σ = 738524160. Its totient is φ = 56160000.

The previous prime is 212502943. The next prime is 212502967. The reversal of 212502960 is 69205212.

212502960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (212502967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282585 + ... + 283335.

It is an arithmetic number, because the mean of its divisors is an integer number (4615776).

Almost surely, 2^212502960 is an apocalyptic number.

212502960 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 212502960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369262080).

212502960 is an abundant number, since it is smaller than the sum of its proper divisors (526021200).

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

212502960 is a wasteful number, since it uses less digits than its factorization.

212502960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 212502960 is about 14577.4812639221. The cubic root of 212502960 is about 596.7443667039.

The spelling of 212502960 in words is "two hundred twelve million, five hundred two thousand, nine hundred sixty".