213389680 has 80 divisors (see below), whose sum is σ = 573963264. Its totient is φ = 72264960.

The previous prime is 213389663. The next prime is 213389681. The reversal of 213389680 is 86983312.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213389681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44185 + ... + 48775.

Almost surely, 2^213389680 is an apocalyptic number.

213389680 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 213389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286981632).

213389680 is an abundant number, since it is smaller than the sum of its proper divisors (360573584).

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

213389680 is a wasteful number, since it uses less digits than its factorization.

213389680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4694 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 213389680 is about 14607.8636357272. The cubic root of 213389680 is about 597.5732349558.

The spelling of 213389680 in words is "two hundred thirteen million, three hundred eighty-nine thousand, six hundred eighty".