213982720 has 80 divisors (see below), whose sum is σ = 586399968. Its totient is φ = 73359360.

The previous prime is 213982687. The next prime is 213982721. The reversal of 213982720 is 27289312.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213982721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11950 + ... + 23890.

Almost surely, 2^213982720 is an apocalyptic number.

213982720 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 213982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293199984).

213982720 is an abundant number, since it is smaller than the sum of its proper divisors (372417248).

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

213982720 is an equidigital number, since it uses as much as digits as its factorization.

213982720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11971 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 213982720 is about 14628.1482081636. The cubic root of 213982720 is about 598.1263030049.

The spelling of 213982720 in words is "two hundred thirteen million, nine hundred eighty-two thousand, seven hundred twenty".