212065560 has 128 divisors (see below), whose sum is σ = 807897600. Its totient is φ = 48470400.

The previous prime is 212065549. The next prime is 212065583. The reversal of 212065560 is 65560212.

212065560 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 655 + 6 + 0 = 666.

212065560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212065560² = 89943603476227200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6466 + ... + 21585.

It is an arithmetic number, because the mean of its divisors is an integer number (6311700).

Almost surely, 2^212065560 is an apocalyptic number.

212065560 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 212065560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403948800).

212065560 is an abundant number, since it is smaller than the sum of its proper divisors (595832040).

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

212065560 is a wasteful number, since it uses less digits than its factorization.

212065560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28078 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 212065560 is about 14562.4709441770. The cubic root of 212065560 is about 596.3346543306.

The spelling of 212065560 in words is "two hundred twelve million, sixty-five thousand, five hundred sixty".