212665320 has 96 divisors (see below), whose sum is σ = 789909120. Its totient is φ = 48608640.

The previous prime is 212665289. The next prime is 212665351. The reversal of 212665320 is 23566212.

212665320 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 653 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (212665289) and next prime (212665351).

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 23 ways as a sum of consecutive naturals, for example, 39676 + ... + 44715.

It is an arithmetic number, because the mean of its divisors is an integer number (8228220).

Almost surely, 2^212665320 is an apocalyptic number.

212665320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212665320 is an abundant number, since it is smaller than the sum of its proper divisors (577243800).

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

212665320 is a wasteful number, since it uses less digits than its factorization.

212665320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84415 (or 84408 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 212665320 is about 14583.0490638961. The cubic root of 212665320 is about 596.8963061572.

The spelling of 212665320 in words is "two hundred twelve million, six hundred sixty-five thousand, three hundred twenty".