212586240 has 288 divisors, whose sum is σ = 741726720. Its totient is φ = 51724288.

The previous prime is 212586203. The next prime is 212586259. The reversal of 212586240 is 42685212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 212586198 and 212586207.

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 31 ways as a sum of consecutive naturals, for example, 2561239 + ... + 2561321.

It is an arithmetic number, because the mean of its divisors is an integer number (2575440).

Almost surely, 2^212586240 is an apocalyptic number.

212586240 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 212586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370863360).

212586240 is an abundant number, since it is smaller than the sum of its proper divisors (529140480).

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

212586240 is a wasteful number, since it uses less digits than its factorization.

212586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 212586240 is about 14580.3374446547. The cubic root of 212586240 is about 596.8223113126.

The spelling of 212586240 in words is "two hundred twelve million, five hundred eighty-six thousand, two hundred forty".