212462560 has 96 divisors (see below), whose sum is σ = 539965440. Its totient is φ = 78746112.

The previous prime is 212462557. The next prime is 212462597. The reversal of 212462560 is 65264212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142137 + ... + 143623.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^212462560 is an apocalyptic number.

212462560 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 212462560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269982720).

212462560 is an abundant number, since it is smaller than the sum of its proper divisors (327502880).

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

212462560 is a wasteful number, since it uses less digits than its factorization.

212462560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 212462560 is about 14576.0954991383. The cubic root of 212462560 is about 596.7065476223.

The spelling of 212462560 in words is "two hundred twelve million, four hundred sixty-two thousand, five hundred sixty".