216434624 has 112 divisors (see below), whose sum is σ = 528645120. Its totient is φ = 85847040.

The previous prime is 216434593. The next prime is 216434677. The reversal of 216434624 is 426434612.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 399794 + ... + 400334.

Almost surely, 2^216434624 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 216434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264322560).

216434624 is an abundant number, since it is smaller than the sum of its proper divisors (312210496).

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

216434624 is a wasteful number, since it uses less digits than its factorization.

216434624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 616 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 216434624 is about 14711.7172349118. The cubic root of 216434624 is about 600.4021600149.

It can be divided in two parts, 2164 and 34624, that multiplied together give a square (74926336 = 8656²).

The spelling of 216434624 in words is "two hundred sixteen million, four hundred thirty-four thousand, six hundred twenty-four".