213929856 has 256 divisors, whose sum is σ = 744192000. Its totient is φ = 59222016.

The previous prime is 213929851. The next prime is 213929869. The reversal of 213929856 is 658929312.

Its product of digits (233280) is a multiple of the sum of its prime divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213929851) 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, 894985 + ... + 895223.

It is an arithmetic number, because the mean of its divisors is an integer number (2907000).

Almost surely, 2^213929856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213929856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372096000).

213929856 is an abundant number, since it is smaller than the sum of its proper divisors (530262144).

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

213929856 is a wasteful number, since it uses less digits than its factorization.

213929856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 213929856 is about 14626.3411692740. The cubic root of 213929856 is about 598.0770436487.

The spelling of 213929856 in words is "two hundred thirteen million, nine hundred twenty-nine thousand, eight hundred fifty-six".