212570640 has 60 divisors (see below), whose sum is σ = 713885484. Its totient is φ = 56685312.

The previous prime is 212570591. The next prime is 212570641. The reversal of 212570640 is 46075212.

212570640 is a `hidden beast` number, since 2 + 12 + 5 + 7 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50466816 + 162103824 = 7104^2 + 12732^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (212570641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146899 + ... + 148338.

Almost surely, 2^212570640 is an apocalyptic number.

212570640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212570640 is an abundant number, since it is smaller than the sum of its proper divisors (501314844).

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

212570640 is a wasteful number, since it uses less digits than its factorization.

212570640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295256 (or 295247 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 212570640 is about 14579.8024677977. The cubic root of 212570640 is about 596.8077122872.

The spelling of 212570640 in words is "two hundred twelve million, five hundred seventy thousand, six hundred forty".