216513648 has 200 divisors, whose sum is σ = 688143456. Its totient is φ = 65318400.

The previous prime is 216513629. The next prime is 216513653. The reversal of 216513648 is 846315612.

It is a happy number.

216513648 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 1 + 3 + 648 = 666.

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

Its product of digits (34560) is a multiple of the sum of its prime divisors (270).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1196118 + ... + 1196298.

Almost surely, 2^216513648 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 216513648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344071728).

216513648 is an abundant number, since it is smaller than the sum of its proper divisors (471629808).

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

216513648 is a wasteful number, since it uses less digits than its factorization.

216513648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 216513648 is about 14714.4027401726. The cubic root of 216513648 is about 600.4752235050.

The spelling of 216513648 in words is "two hundred sixteen million, five hundred thirteen thousand, six hundred forty-eight".