216641952 has 240 divisors, whose sum is σ = 691558560. Its totient is φ = 66313728.

The previous prime is 216641951. The next prime is 216641963. The reversal of 216641952 is 259146612.

216641952 is a `hidden beast` number, since 2 + 1 + 6 + 641 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (25920) is a multiple of the sum of its prime divisors (160).

It is not an unprimeable number, because it can be changed into a prime (216641951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2610103 + ... + 2610185.

It is an arithmetic number, because the mean of its divisors is an integer number (2881494).

Almost surely, 2^216641952 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 216641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345779280).

216641952 is an abundant number, since it is smaller than the sum of its proper divisors (474916608).

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

216641952 is a wasteful number, since it uses less digits than its factorization.

216641952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 216641952 is about 14718.7619044538. The cubic root of 216641952 is about 600.5938121181.

The spelling of 216641952 in words is "two hundred sixteen million, six hundred forty-one thousand, nine hundred fifty-two".