212616540 has 36 divisors (see below), whose sum is σ = 644937384. Its totient is φ = 56697696.

The previous prime is 212616539. The next prime is 212616557. The reversal of 212616540 is 45616212.

212616540 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 1 + 654 + 0 = 666.

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 590422 + ... + 590781.

Almost surely, 2^212616540 is an apocalyptic number.

212616540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212616540 is an abundant number, since it is smaller than the sum of its proper divisors (432320844).

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

212616540 is a wasteful number, since it uses less digits than its factorization.

212616540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181218 (or 1181213 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 212616540 is about 14581.3764782341. The cubic root of 212616540 is about 596.8506650715.

The spelling of 212616540 in words is "two hundred twelve million, six hundred sixteen thousand, five hundred forty".