216000720 has 240 divisors, whose sum is σ = 799448832. Its totient is φ = 51932160.

The previous prime is 216000713. The next prime is 216000727. The reversal of 216000720 is 27000612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216000713) and next prime (216000727).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×216000720³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 216000693 and 216000702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216000727) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439675 + ... + 440165.

Almost surely, 2^216000720 is an apocalyptic number.

216000720 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 216000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399724416).

216000720 is an abundant number, since it is smaller than the sum of its proper divisors (583448112).

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

216000720 is a wasteful number, since it uses less digits than its factorization.

216000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 216000720 is about 14696.9629515761. The cubic root of 216000720 is about 600.0006666659. Note that the first 3 decimals are identical.

The spelling of 216000720 in words is "two hundred sixteen million, seven hundred twenty", and thus it is an aban number.