216706752 has 140 divisors (see below), whose sum is σ = 680450760. Its totient is φ = 67958784.

The previous prime is 216706739. The next prime is 216706753. The reversal of 216706752 is 257607612.

216706752 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 zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (216706753) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 86899 + ... + 89357.

Almost surely, 2^216706752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216706752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340225380).

216706752 is an abundant number, since it is smaller than the sum of its proper divisors (463744008).

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

216706752 is a wasteful number, since it uses less digits than its factorization.

216706752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 216706752 is about 14720.9630119772. The cubic root of 216706752 is about 600.6536875623.

The spelling of 216706752 in words is "two hundred sixteen million, seven hundred six thousand, seven hundred fifty-two".