216144720 has 240 divisors, whose sum is σ = 819322560. Its totient is φ = 52335360.

The previous prime is 216144707. The next prime is 216144727. The reversal of 216144720 is 27441612.

216144720 is a `hidden beast` number, since 2 + 1 + 614 + 47 + 2 + 0 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216144727) 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, 260947 + ... + 261773.

It is an arithmetic number, because the mean of its divisors is an integer number (3413844).

Almost surely, 2^216144720 is an apocalyptic number.

216144720 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 216144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

216144720 is an abundant number, since it is smaller than the sum of its proper divisors (603177840).

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

216144720 is a wasteful number, since it uses less digits than its factorization.

216144720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 216144720 is about 14701.8611066763. The cubic root of 216144720 is about 600.1339700845.

The spelling of 216144720 in words is "two hundred sixteen million, one hundred forty-four thousand, seven hundred twenty".