213712380 has 288 divisors, whose sum is σ = 796723200. Its totient is φ = 45287424.

The previous prime is 213712363. The next prime is 213712381. The reversal of 213712380 is 83217312.

213712380 is a `hidden beast` number, since 213 + 71 + 2 + 380 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213712381) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1891204 + ... + 1891316.

It is an arithmetic number, because the mean of its divisors is an integer number (2766400).

Almost surely, 2^213712380 is an apocalyptic number.

213712380 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 213712380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398361600).

213712380 is an abundant number, since it is smaller than the sum of its proper divisors (583010820).

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

213712380 is a wasteful number, since it uses less digits than its factorization.

213712380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 213712380 is about 14618.9048837456. The cubic root of 213712380 is about 597.8743113062.

Adding to 213712380 its reverse (83217312), we get a palindrome (296929692).

The spelling of 213712380 in words is "two hundred thirteen million, seven hundred twelve thousand, three hundred eighty".