212646560 has 96 divisors (see below), whose sum is σ = 594034560. Its totient is φ = 70382592.

The previous prime is 212646527. The next prime is 212646571. The reversal of 212646560 is 65646212.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 15 ways as a sum of consecutive naturals, for example, 29207 + ... + 35753.

It is an arithmetic number, because the mean of its divisors is an integer number (6187860).

Almost surely, 2^212646560 is an apocalyptic number.

212646560 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 212646560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297017280).

212646560 is an abundant number, since it is smaller than the sum of its proper divisors (381388000).

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

212646560 is a wasteful number, since it uses less digits than its factorization.

212646560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6598 (or 6590 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 212646560 is about 14582.4058371724. The cubic root of 212646560 is about 596.8787541589.

The spelling of 212646560 in words is "two hundred twelve million, six hundred forty-six thousand, five hundred sixty".