216753152 has 88 divisors (see below), whose sum is σ = 540408000. Its totient is φ = 84418560.

The previous prime is 216753139. The next prime is 216753167. The reversal of 216753152 is 251357612.

It is a tau number, because it is divible by the number of its divisors (88).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77474 + ... + 80222.

It is an arithmetic number, because the mean of its divisors is an integer number (6141000).

Almost surely, 2^216753152 is an apocalyptic number.

216753152 is a gapful number since it is divisible by the number (22) 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 216753152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270204000).

216753152 is an abundant number, since it is smaller than the sum of its proper divisors (323654848).

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

216753152 is a wasteful number, since it uses less digits than its factorization.

216753152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2787 (or 2769 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 216753152 is about 14722.5389114785. The cubic root of 216753152 is about 600.6965540042.

The spelling of 216753152 in words is "two hundred sixteen million, seven hundred fifty-three thousand, one hundred fifty-two".