213966720 has 288 divisors, whose sum is σ = 814773960. Its totient is φ = 51701760.

The previous prime is 213966719. The next prime is 213966749. The reversal of 213966720 is 27669312.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 696807 + ... + 697113.

Almost surely, 2^213966720 is an apocalyptic number.

213966720 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 213966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407386980).

213966720 is an abundant number, since it is smaller than the sum of its proper divisors (600807240).

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

213966720 is a wasteful number, since it uses less digits than its factorization.

213966720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 213966720 is about 14627.6013071180. The cubic root of 213966720 is about 598.1113948550. Note that the first 3 decimals are identical.

The spelling of 213966720 in words is "two hundred thirteen million, nine hundred sixty-six thousand, seven hundred twenty".