212932560 has 160 divisors (see below), whose sum is σ = 691384320. Its totient is φ = 54157824.

The previous prime is 212932553. The next prime is 212932561. The reversal of 212932560 is 65239212.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212932561) by changing a digit.

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, 484821 + ... + 485259.

It is an arithmetic number, because the mean of its divisors is an integer number (4321152).

Almost surely, 2^212932560 is an apocalyptic number.

212932560 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 212932560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345692160).

212932560 is an abundant number, since it is smaller than the sum of its proper divisors (478451760).

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

212932560 is a wasteful number, since it uses less digits than its factorization.

212932560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 212932560 is about 14592.2088800839. The cubic root of 212932560 is about 597.1462259199.

The spelling of 212932560 in words is "two hundred twelve million, nine hundred thirty-two thousand, five hundred sixty".