213871840 has 192 divisors, whose sum is σ = 640289664. Its totient is φ = 65691648.

The previous prime is 213871831. The next prime is 213871841. The reversal of 213871840 is 48178312.

It is a happy number.

213871840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213871796 and 213871805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213871841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538522 + ... + 538918.

It is an arithmetic number, because the mean of its divisors is an integer number (3334842).

Almost surely, 2^213871840 is an apocalyptic number.

213871840 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 213871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320144832).

213871840 is an abundant number, since it is smaller than the sum of its proper divisors (426417824).

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

213871840 is a wasteful number, since it uses less digits than its factorization.

213871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 213871840 is about 14624.3577636763. The cubic root of 213871840 is about 598.0229742519.

The spelling of 213871840 in words is "two hundred thirteen million, eight hundred seventy-one thousand, eight hundred forty".