212587200 has 672 divisors, whose sum is σ = 957478400. Its totient is φ = 44789760.

The previous prime is 212587129. The next prime is 212587201. The reversal of 212587200 is 2785212.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×212587200³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212587201) 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 95 ways as a sum of consecutive naturals, for example, 5745582 + ... + 5745618.

Almost surely, 2^212587200 is an apocalyptic number.

212587200 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 212587200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478739200).

212587200 is an abundant number, since it is smaller than the sum of its proper divisors (744891200).

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

212587200 is a wasteful number, since it uses less digits than its factorization.

212587200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 212587200 is about 14580.3703656663. The cubic root of 212587200 is about 596.8232096909.

The spelling of 212587200 in words is "two hundred twelve million, five hundred eighty-seven thousand, two hundred".