213907680 has 144 divisors (see below), whose sum is σ = 834279264. Its totient is φ = 48890880.

The previous prime is 213907609. The next prime is 213907691. The reversal of 213907680 is 86709312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 531 + ... + 20690.

It is an arithmetic number, because the mean of its divisors is an integer number (5793606).

Almost surely, 2^213907680 is an apocalyptic number.

213907680 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 213907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417139632).

213907680 is an abundant number, since it is smaller than the sum of its proper divisors (620371584).

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

213907680 is a wasteful number, since it uses less digits than its factorization.

213907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21249 (or 21238 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 213907680 is about 14625.5830653003. The cubic root of 213907680 is about 598.0563773501.

The spelling of 213907680 in words is "two hundred thirteen million, nine hundred seven thousand, six hundred eighty".