213374600 has 72 divisors (see below), whose sum is σ = 508781610. Its totient is φ = 83220480.

The previous prime is 213374593. The next prime is 213374639. The reversal of 213374600 is 6473312.

It can be written as a sum of positive squares in 3 ways, for example, as 206267044 + 7107556 = 14362^2 + 2666^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 213374600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 369512 + ... + 370088.

Almost surely, 2^213374600 is an apocalyptic number.

213374600 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 213374600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254390805).

213374600 is an abundant number, since it is smaller than the sum of its proper divisors (295407010).

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

213374600 is a wasteful number, since it uses less digits than its factorization.

213374600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 26.

The square root of 213374600 is about 14607.3474662582. The cubic root of 213374600 is about 597.5591580228.

The spelling of 213374600 in words is "two hundred thirteen million, three hundred seventy-four thousand, six hundred".