213198720 has 256 divisors, whose sum is σ = 804902400. Its totient is φ = 46964736.

The previous prime is 213198709. The next prime is 213198731. The reversal of 213198720 is 27891312.

It is an interprime number because it is at equal distance from previous prime (213198709) and next prime (213198731).

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, 389487 + ... + 390033.

It is an arithmetic number, because the mean of its divisors is an integer number (3144150).

Almost surely, 2^213198720 is an apocalyptic number.

213198720 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 213198720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402451200).

213198720 is an abundant number, since it is smaller than the sum of its proper divisors (591703680).

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

213198720 is a wasteful number, since it uses less digits than its factorization.

213198720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 213198720 is about 14601.3259671853. The cubic root of 213198720 is about 597.3949279242.

The spelling of 213198720 in words is "two hundred thirteen million, one hundred ninety-eight thousand, seven hundred twenty".