216306720 has 384 divisors, whose sum is σ = 905748480. Its totient is φ = 47139840.

The previous prime is 216306719. The next prime is 216306721. The reversal of 216306720 is 27603612.

It is a happy number.

216306720 is a `hidden beast` number, since 2 + 1 + 630 + 6 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (216306719) and next prime (216306721).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216306721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 695365 + ... + 695675.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^216306720 is an apocalyptic number.

216306720 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 216306720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

216306720 is an abundant number, since it is smaller than the sum of its proper divisors (689441760).

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

216306720 is a wasteful number, since it uses less digits than its factorization.

216306720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 216306720 is about 14707.3695812678. The cubic root of 216306720 is about 600.2838656793.

It can be divided in two parts, 216 and 306720, that added together give a triangular number (306936 = T₇₈₃).

The spelling of 216306720 in words is "two hundred sixteen million, three hundred six thousand, seven hundred twenty".