216653712 has 80 divisors (see below), whose sum is σ = 646512192. Its totient is φ = 61788160.

The previous prime is 216653711. The next prime is 216653753. The reversal of 216653712 is 217356612.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (216653711) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3093 + ... + 21044.

Almost surely, 2^216653712 is an apocalyptic number.

216653712 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 216653712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323256096).

216653712 is an abundant number, since it is smaller than the sum of its proper divisors (429858480).

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

216653712 is a wasteful number, since it uses less digits than its factorization.

216653712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24176 (or 24170 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 216653712 is about 14719.1613891553. The cubic root of 216653712 is about 600.6046792891.

The spelling of 216653712 in words is "two hundred sixteen million, six hundred fifty-three thousand, seven hundred twelve".