212564000 has 96 divisors (see below), whose sum is σ = 569866752. Its totient is φ = 77280000.

The previous prime is 212563987. The next prime is 212564017. The reversal of 212564000 is 465212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 41585 + ... + 46415.

It is an arithmetic number, because the mean of its divisors is an integer number (5936112).

Almost surely, 2^212564000 is an apocalyptic number.

212564000 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 212564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284933376).

212564000 is an abundant number, since it is smaller than the sum of its proper divisors (357302752).

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

212564000 is a wasteful number, since it uses less digits than its factorization.

212564000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4867 (or 4849 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 212564000 is about 14579.5747537437. The cubic root of 212564000 is about 596.8014981263.

The spelling of 212564000 in words is "two hundred twelve million, five hundred sixty-four thousand".