212673600 has 252 divisors, whose sum is σ = 785321264. Its totient is φ = 56609280.

The previous prime is 212673589. The next prime is 212673641. The reversal of 212673600 is 6376212.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 388527 + ... + 389073.

Almost surely, 2^212673600 is an apocalyptic number.

212673600 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 212673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392660632).

212673600 is an abundant number, since it is smaller than the sum of its proper divisors (572647664).

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

212673600 is an equidigital number, since it uses as much as digits as its factorization.

212673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 212673600 is about 14583.3329523809. The cubic root of 212673600 is about 596.9040526597.

The spelling of 212673600 in words is "two hundred twelve million, six hundred seventy-three thousand, six hundred".