212604000 has 192 divisors, whose sum is σ = 796303872. Its totient is φ = 48576000.

The previous prime is 212603999. The next prime is 212604011. The reversal of 212604000 is 406212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82735 + ... + 85265.

It is an arithmetic number, because the mean of its divisors is an integer number (4147416).

Almost surely, 2^212604000 is an apocalyptic number.

212604000 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 212604000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398151936).

212604000 is an abundant number, since it is smaller than the sum of its proper divisors (583699872).

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

212604000 is a wasteful number, since it uses less digits than its factorization.

212604000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2566 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 212604000 is about 14580.9464713372. The cubic root of 212604000 is about 596.8389308723.

The spelling of 212604000 in words is "two hundred twelve million, six hundred four thousand".