216249696 has 144 divisors (see below), whose sum is σ = 683439120. Its totient is φ = 66493440.

The previous prime is 216249689. The next prime is 216249727. The reversal of 216249696 is 696942612.

216249696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145276 + ... + 146756.

It is an arithmetic number, because the mean of its divisors is an integer number (4746105).

Almost surely, 2^216249696 is an apocalyptic number.

216249696 is a gapful number since it is divisible by the number (26) 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 216249696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341719560).

216249696 is an abundant number, since it is smaller than the sum of its proper divisors (467189424).

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

216249696 is a wasteful number, since it uses less digits than its factorization.

216249696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1499 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 216249696 is about 14705.4308335390. The cubic root of 216249696 is about 600.2311109681.

It can be divided in two parts, 216 and 249696, that multiplied together give a square (53934336 = 7344²).

The spelling of 216249696 in words is "two hundred sixteen million, two hundred forty-nine thousand, six hundred ninety-six".