212164020 has 36 divisors (see below), whose sum is σ = 643564740. Its totient is φ = 56577024.

The previous prime is 212163989. The next prime is 212164027. The reversal of 212164020 is 20461212.

212164020 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 640 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98485776 + 113678244 = 9924^2 + 10662^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 212163984 and 212164002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212164027) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 589165 + ... + 589524.

Almost surely, 2^212164020 is an apocalyptic number.

212164020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212164020 is an abundant number, since it is smaller than the sum of its proper divisors (431400720).

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

212164020 is a wasteful number, since it uses less digits than its factorization.

212164020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178704 (or 1178699 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 212164020 is about 14565.8511594757. The cubic root of 212164020 is about 596.4269308660.

The spelling of 212164020 in words is "two hundred twelve million, one hundred sixty-four thousand, twenty".