213727680 has 224 divisors, whose sum is σ = 780897600. Its totient is φ = 54964224.

The previous prime is 213727649. The next prime is 213727691. The reversal of 213727680 is 86727312.

213727680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250134 + ... + 250986.

It is an arithmetic number, because the mean of its divisors is an integer number (3486150).

Almost surely, 2^213727680 is an apocalyptic number.

213727680 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 213727680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390448800).

213727680 is an abundant number, since it is smaller than the sum of its proper divisors (567169920).

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

213727680 is a wasteful number, since it uses less digits than its factorization.

213727680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 213727680 is about 14619.4281693916. The cubic root of 213727680 is about 597.8885785481. Note that the first 3 decimals are identical.

The spelling of 213727680 in words is "two hundred thirteen million, seven hundred twenty-seven thousand, six hundred eighty".